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

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

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

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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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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

Decision Maths

Calculus

Probability and Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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