Q5.64 Multiply:聽(a)聽(y+11)2 (b)聽(4x... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q5.64 (page 531)

Multiply: $(a) {(y + 11)}^{2} (b) {(4 x - 5 y)}^{2}$

Short Answer

Expert verified

$O p e n t h e i d e n t i t y a n d m u l t i p l y (a) {(y + 11)}^{2} y^{2} + 121 + 22 y (b) {(4 x - 5 y)}^{2} 16 x^{2} + 25 y^{2} - 40 x y$

Step by step solution

Step 1

$G i v e n I n f o r m a t i o n (a) {(y + 11)}^{2} (b) {(4 x - 5 y)}^{2}$

Step 2

The square of this expression is written as in mathematical form and it is expanded as 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

$(a) 1 . S q u a r e t h e f i r s t t e r m y^{2} 2 . S q u a r e t h e l a s t t e r m y^{2} + 121 3 . D o u b l e t h e i r p r o d u c t y^{2} + 121 + 2 脳 y 脳脳 11 S i m p l i f y y^{2} + 121 + 22 y$

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

$(b) 1 . S q u a r e t h e f i r s t t e r m 16 x^{2} 2 . S q u a r e t h e l a s t t e r m 16 x^{2} + 25 y^{2} 3 . D o u b l e t h e i r p r o d u c t 16 x^{2} + 25 y^{2} - 2 脳 4 x 脳 5 y S i m p l i f y 16 x^{2} + 25 y^{2} - 40 x y$

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91影视

Multiply: $(a) {(y + 11)}^{2} (b) {(4 x - 5 y)}^{2}$

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)(y+11)2 (b)(4x-5y)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

Pure Maths

Theoretical and Mathematical Physics

Calculus

Discrete Mathematics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Multiply: $(a) {(y + 11)}^{2} (b) {(4 x - 5 y)}^{2}$