Q5.51 Multiply: (a) 聽-3y(5y2+8y-7)聽 ... [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: Q5.51 (page 525)

Multiply: (a) $- 3 y (5 y^{2} + 8 y - 7)$
(b) $4 x^{2} y^{2} (3 x^{2} - 5 x y + 3 y^{2})$

Short Answer

Expert verified

$(a) B y m u l t i p l y t h e b i n o m i a l s u \sin g t h e d i s t r i b u t i v e p r o p e r t y, w e g e t - 3 y (5 y^{2} + 8 y - 7) - 15 y^{3} - 24 y^{2} + 21 y (b) B y m u l t i p l y t h e b i n o m i a l s u \sin g t h e d i s t r i b u t i v e p r o p e r t y, w e g e t 4 x^{2} y^{2} (3 x^{2} - 5 x y + 3 y^{2}) 12 x^{4} y^{2} - 20 x^{3} y^{3} + 12 x^{2} y^{4}$

Step by step solution

Step 1

Given Information:

$(a) - 3 y (5 y^{2} + 8 y - 7) (b) 4 x^{2} y^{2} (3 x^{2} - 5 x y + 3 y^{2})$

Step 2

Distributive Property

Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Step 3Part(a) Step 1. Multiply the binomials

(a) $- 3 y (5 y^{2} + 8 y - 7)$

Using Distributive property $- 3 y 脳 5 y^{2} + (- 3 y) 脳 8 y + (- 3 y) 脳 (- 7)$

Multiply $- 15 y^{3} - 24 y^{2} + 21 y$

Step 4Part(b) Step1. Multiply the binomials

(b) $4 x^{2} y^{2} (3 x^{2} - 5 x y + 3 y^{2)}$

Using Distributive property $4 x^{2} y^{2} 脳 3 x^{2} + 4 x^{2} y^{2} 脳 (- 5 x y) + 4 x^{2} y^{2} 脳 3 y^{2}$

Multiply $12 x^{4} y^{2} - 20 x^{3} y^{3} + 12 x^{2} y^{4}$

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91影视

Multiply: (a) $- 3 y (5 y^{2} + 8 y - 7)$
(b) $4 x^{2} y^{2} (3 x^{2} - 5 x y + 3 y^{2})$

Short Answer

Step by step solution

Step 1

Step 2

Step 3Part(a) Step 1. Multiply the binomials

Step 4Part(b) Step1. Multiply the binomials

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91影视

Multiply: (a) -3y(5y2+8y-7) (b)4x2y2(3x2-5xy+3y2)

Short Answer

Step by step solution

Step 1

Step 2

Step 3Part(a) Step 1. Multiply the binomials

Step 4Part(b) Step1. Multiply the binomials

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Probability and Statistics

Statistics

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Logic and Functions

Study anywhere. Anytime. Across all devices.

Multiply: (a) $- 3 y (5 y^{2} + 8 y - 7)$
(b) $4 x^{2} y^{2} (3 x^{2} - 5 x y + 3 y^{2})$