Q5.63 Multiply :(a)聽(x+9)2 (b)聽(2c-d... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q5.63 (page 531)

Multiply : $(a) {(x + 9)}^{2} (b) {(2 c - d)}^{2}$

Short Answer

Expert verified

$O p e n t h e i d e n t i t y a n d M u l t i p l y (a) {(x + 9)}^{2} x^{2} + 81 + 18 x (b) {(2 c - d)}^{2} 4 c^{2} + d^{2} - 4 c d$

Step by step solution

Step 1

$G i v e n I n f o r m a t i o n : (a) {(x + 9)}^{2} (b) {(2 c - d)}^{2}$

Step 2

he square of this expression is written as ${(a - b)}^{2}$ in mathematical form and it is expanded as $a^{2} - 2 a b + b^{2}$ mathematically.

In mathematics, this algebraic identity is used as a formula and it is called in the following three ways.

The square of difference of the terms formula.
The square of a binomial identity.
The special binomial product rule.

Part(a) Step1 Use (a+b)2=a2+b2-2ab

$(a) 1 . S q u a r e t h e f i r s t t e r m x^{2} 2 . S q u a r e t h e l a s t t e r m x^{2} + 81 3 . D o u b l e t h e i r p r o d u c t x^{2} + 81 + 2 脳 x 脳 9 S i m p l i f y x^{2} + 18 x + 81$

Part(b) Step1. Use (a-b)2=a2+b2-2ab

$(b) 1 . S q u a r e t h e f i r s t t e r m 4 c^{2} 2 . S q u a r e t h e l a s t t e r m 4 c^{2} + d^{2} 3 . D o u b l e t h e i r p r o d u c t 4 c^{2} + d^{2} + 2 脳 2 c 脳 (- d) S i m p l i f y 4 c^{2} - 4 c d + d^{2}$

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91影视

Multiply : $(a) {(x + 9)}^{2} (b) {(2 c - d)}^{2}$

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step1 Use (a+b)2=a2+b2-2ab

Part(b) Step1. Use (a-b)2=a2+b2-2ab

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91影视

Multiply :(a)(x+9)2 (b)(2c-d)2

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step1 Use (a+b)2=a2+b2-2ab

Part(b) Step1. Use (a-b)2=a2+b2-2ab

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Pure Maths

Decision Maths

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Multiply : $(a) {(x + 9)}^{2} (b) {(2 c - d)}^{2}$