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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

8. Differences of Squares

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Exercise 58 Page 62

Start by writing the expression in a^2-b^2 form.

- k(k+6)

Practice makes perfect

We will start by writing the given expression in a^2-b^2 form. Then, we will simplify it.

9-(k+3)^2

Write as a power

3^2-(k+3)^2

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

(3+(k+3))(3-(k+3))

▼

Simplify

Distribute -1

(3+k+3)(3-k-3)

Add and subtract terms

(k+6)(- k)

The factored form of the expression is k(k+6). 9-(k+3)^2 = - k(k+6)

Subchapter links

Exercises p.60-63