You will need

- computer, Word

Instruction

1

Usually enough to

**square**out a Word menu "Insert-symbol". Select the menu in Word and click Insert Symbol... In the table symbols indicate the sign of the**square**(?), then click "Paste". The icon is**square**and will appear in the text where the cursor is.2

Search

**square**and can be accelerated. For this field "set" select "mathematical symbols". To access the full list of characters, select Unicode (hex)". Code**square**and you can just paste in the "character Code". For the symbol**square**and that "00b2" or "00B2".3

Re-enter

If you frequently enter

Also note that not all fonts have the symbol

**the square**and produce a panel called "alternate characters".If you frequently enter

**the square**and set up in the same window, the keyboard shortcuts and/or AutoCorrect options.Also note that not all fonts have the symbol

**square**.4

To put

**the square**even faster, type the key combination Alt and the number 0178. Keyboard before doing this make sure you switch to English layout.5

To combine both methods, enter

**the square**and "00b2" ("00B2" and press the key combination alt + x.6

To put

**square**standard formatted Word and, select two, press the right mouse button, click Font and check "Superscript".7

If this method does not suit You, put

**a square**using the normal formatting Word a - decrease font and offset. To do this, select the two (future**square**) and select the menu "Font". Font size select a third smaller (e.g. 8 instead of 12). Then on the tab "Interval" select "Shift" Is Up.8

To build in

Select menu: Insert – Object – Microsoft Equation 3.0. Then select "Templates upper and lower indices".

**the square**of a complex mathematical expression, create a symbol of the**square**and in the formula editor.Select menu: Insert – Object – Microsoft Equation 3.0. Then select "Templates upper and lower indices".

9

If "Microsoft Equation 3.0" is missing, then insert the disc with the distribution of MS Office and run the installation program. Check the Microsoft Equation 3.0 and after the installation it will appear in Word'e.

10

To launch the editor of mathematical formulas and different. To do this, select the menu: Insert – Field – Formula – Eq. Then click the "equation Editor".

11

To put

**a square**combination of special characters, press Ctrl+F9 and type that appears inside the curly braces string: eq s(2), then press F9. In the end, the text will appear as a raised two. However, its size will match the main text, so this method is not very convenient to denote**the square**.Note

There is another way to put a square: when printing, click the right mouse button in the ensuing window, find the "Font" snap – in window, find the section "Modification of the" - "Superscript (next put a tick and "OK"). If not write examples, in the text of this sign may replace the abbreviated combination of letters: sq m, sq m (square meter).

# Advice 2: How to be a square of binomials

The method of allocation of square binomials used in simplifying the cumbersome expressions, and solving quadratic equations. In practice it is usually combined with other techniques, including factorization, grouping, etc.

Instruction

1

The method of singling out a complete square of binomials is based on the use of two formulas of the reduced multiplication of polynomials. These formulas are special cases of the Binomial theorem for the second degree and allow you to simplify the search expression so that it was possible to conduct further reduction or decomposition on the multipliers:

(m + n)2 = m2 + 2·m·n + n2;

(m - n)2 = m2 - 2·m·n + n2.

(m + n)2 = m2 + 2·m·n + n2;

(m - n)2 = m2 - 2·m·n + n2.

2

According to this method from the original polynomial is required to allocate the squares of the two monomials and the sum/difference of their double works. The application of this method makes sense if the high-degree terms not less than 2. Suppose the task is to factorize a lowering of the degree the following expression:

4·y^4 + z^4

4·y^4 + z^4

3

To solve the problem you need to use the method of allocation of the full square. Thus, the term consists of two variables with monomials of even degree. Therefore, it is possible to identify each of them using m and n:

m = 2·y2; n = z2.

m = 2·y2; n = z2.

4

Now we need to give initial expression to the form (m + n)2. It already contains the squares of these terms, but not enough double work. You need to add it artificially, and then subtract:

(2·y2)2 + 2·2·y2·z2 + (z2)2 - 2·2·y2 ·z2 = (2·y2 + z2)2 – 4·y2·z2.

(2·y2)2 + 2·2·y2·z2 + (z2)2 - 2·2·y2 ·z2 = (2·y2 + z2)2 – 4·y2·z2.

5

In the resulting expression, you can see the formula difference of squares:

(2·y2 + z2)2 – (2·y·z)2 = (2·y2 + z2 – 2·y·z)· (2·y2 + z2 + 2·y·z).

(2·y2 + z2)2 – (2·y·z)2 = (2·y2 + z2 – 2·y·z)· (2·y2 + z2 + 2·y·z).

6

So, the method consists of two stages: allocation of the monomials of a complete square of m and n, the addition and subtraction of their double works. Selection method full square binomials can be used not only independently but also in combination with other methods: making the brackets common factor, change of variable, grouping terms, etc.

7

Example 2.

Select the full square in the expression:

4·y2 + 2·y·z + z2.

Solution.

4·y2 + 2·y·z + z2 =[m = 2·y, n = z] = (2·y)2 + 2·2·y·z + (z) 2 – 2·y·z = (2·y + z)2 – 2·y·z.

Select the full square in the expression:

4·y2 + 2·y·z + z2.

Solution.

4·y2 + 2·y·z + z2 =[m = 2·y, n = z] = (2·y)2 + 2·2·y·z + (z) 2 – 2·y·z = (2·y + z)2 – 2·y·z.

8

The method used for finding roots of a quadratic equation. The left part of the equation is a trinomial of the form a·y2 + b·y + c, where a, b and c are numbers and a ≠ 0.

a·y2 + b·y + c = a·(y2 + (b/a)·y) + c = a·(y2 + 2·(b/(2·a))·y) + c = a·(y2 + 2·(b/(2·a))·y + b2/(4·a2)) + c – b2/(4·a) = a·(y + b/(2·a)) 2 – (b2 – 4·a·c)/(4·a).

a·y2 + b·y + c = a·(y2 + (b/a)·y) + c = a·(y2 + 2·(b/(2·a))·y) + c = a·(y2 + 2·(b/(2·a))·y + b2/(4·a2)) + c – b2/(4·a) = a·(y + b/(2·a)) 2 – (b2 – 4·a·c)/(4·a).

9

These calculations lead to the notion of discriminant which is equal to (b2 – 4·a·c)/(4·a) and the roots of the equation are equal:

y_1,2 = ±(b/(2•a)) ± √ ((b2 – 4·a·c)/(4·a)).

y_1,2 = ±(b/(2•a)) ± √ ((b2 – 4·a·c)/(4·a)).

# Advice 3: How in Word to put the index

The upper and lower

**indices**need not only when writing formulas, but, for example, in describing patterns. In a word processor Microsoft Office Word, you can easily convert to an index, any dialed digit, a letter, word or piece of text of any size. However the easiest this operation gives a result which is not compatible with many applications, such**indexes**will not be displayed correctly in other programs. To obtain the result of maximum compatibility it is necessary to use a more sophisticated way.You will need

- Word processor Microsoft Office Word 2007 or 2010.

Instruction

1

If you do not plan where-or to transfer input to a Word document text and are confident that readers will use to view the same program, use the most simple method. Opening in a word processor desired document and selecting the number or letter you want to make Superscript or subscript, click one of two icons in the group of teams "Font" tab on the "Home" menu in Word. The first of them is marked with the symbol x2, and converts selected text to upper "Superscript" index. Another placed to the right, marked with the inscription x₂ - it makes the selected characters lower - "subscript" - indexes.

2

A more complex method involves the use of the quality indices corresponding letters of Unicode-table. This table uses to display characters in most modern applications and system programs, regardless of whether incorporated into them formats support Word documents. To place text in one of the indexes of the Unicode table, set the input cursor to the desired position and click on the "Insert" tab in the menu editor.

3

Open the drop-down list of "Symbol" - it is placed at the right edge of the "strip" Word. If you have recently used index, select it in the table with twenty of the last characters, and if not - click on the labels "Other characters".

4

Find and highlight in the table the desired character. Some

**indexes**- Superscript 1, 2 and 3 can be found in the first few rows. Others are grouped in the section "Superscript and subscript" - set this value in the drop down "Set" to quickly jump to that group. In different places of the table, you can find Superscript and subscript characters Greek and Latin alphabet, punctuation marks, mathematical operations, etc.5

After selecting the desired sign, press the "Insert" button and close the symbol table.