Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q5.65 (page 1069)

Multiply: $(a) (6 x + 5) (6 x - 5) (b) (4 p - 7 q) (4 p + 7 q)$

Short Answer

Expert verified

$M u l t i p l y t h e b i n o m i a l s, w e g e t (a) (6 x + 5) (6 x - 5) 36 x^{2} - 25 (b) (4 p - 7 q) (4 p + 7 q) 16 p^{2} - 49 q^{2}$

Step by step solution

Step 1

$G i v e n I n f o r m a t i o n (a) (6 x + 5) (6 x - 5) (b) (4 p - 7 q) (4 p + 7 q)$

Step 2

A binomial conjugate is found simply by changing the sign of the 2^{nd} term . The binomial conjugate of (a + b) i s (a - b)

Part(a) Step 1. Multiply the conjugate of binomials.

$(a) A r e t h e b i n o m i a l s c o n j u g a t e (6 x + 5) (6 x - 5) I t i s t h e p r o d u c t o f c o n j u a g t e (a + b) (a - b) S q u a r e t h e f i r s t t e r m 6 x 6 x^{2} S q u a r e t h e l a s t t e r m 5 {(- 5)}^{2} S i m p l i f y . T h e p r o d c u t i s t h e d i f f e r e n c e o f s q u a r e s 36 x^{2} - 25$

Part(b) Step1. Multiply the conjugate of binomials.

$(b) A r e t h e b i n o m i a l s c o n j u g a t e (4 p - 7 q) (4 p + 7 q) I t i s t h e p r o d u c t o f c o n j u g a t e (a - b) (a + b) S q u a r e t h e f i r s t t e r m 4 p {(4 p)}^{2} S q u a r e t h e l a s t t e r m 7 q - {(7 q)}^{2} S i m p l i f y 16 p^{2} - 49 q^{2}$

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91影视

Multiply: $(a) (6 x + 5) (6 x - 5) (b) (4 p - 7 q) (4 p + 7 q)$

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step 1. Multiply the conjugate of binomials.

Part(b) Step1. Multiply the conjugate of binomials.

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91影视

Multiply:(a)(6x+5)(6x-5)(b)(4p-7q)(4p+7q)

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step 1. Multiply the conjugate of binomials.

Part(b) Step1. Multiply the conjugate of binomials.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Logic and Functions

Probability and Statistics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Multiply: $(a) (6 x + 5) (6 x - 5) (b) (4 p - 7 q) (4 p + 7 q)$