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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Special Products

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Exercise 63 Page 33

Apply the Distributive Property.

D

Practice makes perfect

We want to simplify the expression by multiplying the binomials. To do so we will apply the Distributive Property.

(2a-3)(2a-3)

Distribute (2a-3)

2a(2a-3)-3(2a-3)

Distribute 2a

4a^2-6a-3(2a-3)

Distribute - 3

4a^2-6a-6a+9

Subtract term

4a^2-12a+9

We can see that this corresponds to option D.

Alternative Solution

Using the Square of a Binomial

We can also simplify the expression by using the Square of a Binomial.

(2a-3)(2a-3)

ProdToPowTwoFac

a* a=a^2

(2a-3)^2

ExpandNegPerfectSquare

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

(2a)^2-2(2a)(3)+3^2

Multiply

(2a)^2-12a+3^2

(a b)^m=a^m b^m

2^2a^2-12a+3^2

Calculate power

4a^2-12a+9

Subchapter links

Exercises p.30-33