Chapter A.2, Problem 11E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In Exercises 7 to 12, simplify by using the FOIL method of multiplication. ( a + b ) 2 + ( a - b ) 2

To determine

To multiply:

(a+b)2+(ab)2

Explanation

Approach:

In elementary algebra, FOIL is a mnemonic for the standard method of multiplying two binomials hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product:

1) First ("first" terms of each binomial are multiplied together)

2) Outer ("outside" terms are multipliedâ€”that is, the first term of the first binomial and the second term of the second)

3) Inner ("inside" terms are multipliedâ€”second term of the first binomial and first term of the second)

4) Last ("last" terms of each binomial are multiplied)

The general form is:

Calculation:

Given: (a+b)2+(aâˆ’b)2

Now we have to simplify by using the FOIL method of multiplication.

By using the FOIL method, we multiply the first, outside, inside, and the last element of each bracket and we add them.

(a+b)2+(aâˆ’b)2=(a+b)(a+b)+(aâˆ’b)(aâˆ’b)=a2+ab+ab+b2+a2âˆ’abâˆ’ab+b2=

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