Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q5.66 (page 533)

Multiply: $(a) (2 x + 7) (2 x - 7) (b) (3 x - y) (3 x + y)$

Short Answer

Expert verified

$M u l t i p l e t h e b i n o m i a l s, w e g e t (a) (2 x + 7) (2 x - 7) 4 x^{2} - 49 (b) (3 x - y) (3 x + y) 9 x^{2} - y^{2}$

Step by step solution

$G i v e n I n f o r m a t i o n (a) (2 x + 7) (2 x - 7) (b) (3 x - y) (3 x + y)$

Step 2

$A b i n o m i a l c o n j u g a t e i s f o u n d s i m p l y b y c h a n g i n g t h e s i g n o f t h e 2 n d t e r m . T h e b i n o m i a l c o n j u g a t e o f (a + b) i s (a - b)$

Part(a) Step1. Multiply the conjugates of binomials.

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

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

$(b) A r e t h e b i n o m i a l s c o n j u g a t e s ? (3 x - y) (3 x + y) I t i s t h e p r o d u c t o f c o n j u g a t e (a - b) (a + b) S q u a r e o f t h e f i r s t t e r m 3 x {(3 x)}^{2} S q u a r e t h e l a s t t e r m y - {(y)}^{2} S i m p l i f y 9 x^{2} - y^{2}$

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91影视

Multiply: $(a) (2 x + 7) (2 x - 7) (b) (3 x - y) (3 x + y)$

Short Answer

Step by step solution

Step 2

Part(a) Step1. Multiply the conjugates of binomials.

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

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91影视

Multiply:(a)(2x+7)(2x-7)(b)(3x-y)(3x+y)

Short Answer

Step by step solution

Step 2

Part(a) Step1. Multiply the conjugates of binomials.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Multiply: $(a) (2 x + 7) (2 x - 7) (b) (3 x - y) (3 x + y)$