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# Squaring a Binomial Help

based on 2 ratings
By McGraw-Hill Professional
Updated on Sep 26, 2011

## Squaring a Binomial

Another special product results from squaring a binomial. This can be done by using the two methods shown previously; however, a short-cut rule can be used. It is:

(a + b) 2 = a 2 + 2ab + b 2

(a - b) 2 = a 2 - 2ab + b 2

In words, whenever you square a binomial, square the first term and then multiply the product of the first and second terms by 2 and square the last term .

Square (x + 8).

Square (2x - 3).

Square (3x + 1).

### Squaring a Binomial Practice Problems

#### Practice

1. (x + 1) 2

2. (x - 6) 2

3. (2x + 5) 2

4. (4x + 7) 2

5. (8x - 3) 2

1. x 2 + 2x + 1

2. x 2 - 12x + 36

3. 4x 2 + 20x + 25

4. 16x 2 + 56x +49

5. 64x 2 - 48x +9

Practice problems for these concepts can be found at: Operations With Monomials And Polynomials Practice Test.

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