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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

8. Dilations

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Exercise 45 Page 701

Rewrite the expression as a product of two factors and apply the Distributive Property.

D

Practice makes perfect

We can simplify this expression using polynomial identities. In this case, we have the square of a binomial. Let's rewrite it as a product of two factors and then apply the Distributive Property.

(x-7)^2

PowToProdTwoFac

a^2=a* a

(x-7)(x-7)

Distribute (x-7)

x(x-7)-7(x-7)

Distribute x

x^2-7x-7(x-7)

Distribute -7

x^2-7x-7x+49

Subtract term

x^2-14x+49

The obtained answer corresponds to option D.

Subchapter links

Exercises p.697-701