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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q 240. (page 728)

In the following exercises, multiply the following binomials using:
鈸� the Distributive Property
鈸� the FOIL method
鈸� the Vertical Method.
$(q + 4) (q - 8)$

Short Answer

Expert verified

The required value is $q^{2} - 4 q - 32$ .

Step by step solution

01

Part (a) Step 1. Given information.

The given expression is:

$(q + 4) (q - 8)$

02

Part (a) Step 2. Use the distributive property to multiply.

$(q + 4) (q - 8)$

distribute $(q - 8)$ ,

$= q 路 (q - 8) + 4 路 (q - 8)$

distribute again,

$= q^{2} - 8 q + 4 q - 32$

Combine like terms,

$= q^{2} - 4 q - 32$

03

Part (b) Step 1. Use the FOIL method to multiply.

$(q + 4) (q - 8) = q 路 q + q 路 (- 8) + 4 路 q + 4 路 (- 8) = q^{2} - 8 q + 4 q - 32 = q^{2} - 4 q - 32$

04

Part (c) Step 1. Use the Vertical Method to multiply.

$(q + 4) (q - 8)$

Use vertical method,

$q + 4 脳 q - 8 - 8 q - 32 q^{2} + 4 q q^{2} - 4 q - 32$

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Most popular questions from this chapter

Multiply: $4 x (3 x^{2} - 5 x + 3)$

In the following exercises, multiply

$- 3 (m + 11)$

In the following exercises, multiply

$- 3 x^{2} (7 x^{2} + 10 x - 1)$

In the following exercises, multiply the following binomials using:

鈸� the Distributive Property

鈸� the FOIL method

鈸� the Vertical Method.

$(p + 11) (p - 4)$

In the following exercises, multiply

$- 3 x^{2} (7 x^{2} + 10 x - 1)$

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