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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.443R (page 561)

In the following exercises, multiply the binomials. Use any method.
$(k + 6) (k - 9)$ .

Short Answer

Expert verified

The simplified form is $(k + 6) (k - 9) = k^{2} - 3 k - 54$ .

Step by step solution

01

Step 1

Recall the distributive property that $a 路 (b + c) = a b + a c$ .

02

Step 2

Apply the distributive property and multiply:

$\begin{array}{rcl} (k + 6) (k - 9) & = & k (k - 9) + 6 (k - 9) \\ = & k (k) + k (- 9) + 6 (k) + 6 (- 9) \\ = & k^{2} - 9 k + 6 k - 54 \\ (k + 6) (k - 9) & = & k^{2} - 3 k - 54 \end{array}$

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Most popular questions from this chapter

In the following exercises , simplify the expression $(\frac{1}{4} d^{5}) (36 d^{2})$ .

Multiply (a) $(3 脳 10^{- 5}) (3 脳 10^{9})$ to get answer in decimal form

Divide (b) $\frac{7 脳 10^{- 3}}{1 脳 10^{- 7}}$ to get answer in decimal form

Simplify (a) $(3 x)^{2} (5 x)$ (b) $(2 y)^{3} (6 y)$

Simplify ${(2 p q^{4})}^{3} {(5 p^{6} q)}^{2}$

Multiply each pair of conjugates using the product of the conjugates pattern.

$(p + \frac{4}{5} q) (p - \frac{4}{5} q)$

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