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

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

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

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

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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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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

Probability and Statistics

Geometry

Discrete Mathematics

Theoretical and Mathematical Physics

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

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