Chapter 11: Q5.52 (page 1069)

Multiply : (a) $4 x^{2} (2 x^{2} - 3 x + 5)$
(b) $- 6 a^{3} b (3 a^{2} - 2 a b + 6 b^{2})$

Short Answer

Expert verified

$(a) B y m u l t i p l y t h e b i n o m i a l s u \sin g D i s t r i b u t i v e p r o p e r t y, w e g e t 4 x^{2} (2 x^{2} - 3 x + 5) 8 x^{4} - 12 x^{3} + 20 x^{2} (b) B y m u l t i p l y t h e b i n o m i a l s u \sin g d i s t r i b u t i v e p r o p e r t y, w e g e t - 6 a^{3} b (3 a^{2} - 2 a b + 6 b^{2}) - 18 a^{5} b + 12 a^{4} b^{2} - 36 a^{3} b^{3}$

Step by step solution

Step 1

Given Information:

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

(b) $- 6 a^{3} b (3 a^{2} - 2 a b + 6 b^{2})$

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) Step1. Multiply the binomials

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

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

Multiply: $8 x^{4} - 12 x^{3} + 20 x^{2}$

Step 4Part(b) Step1. Multiply the binomials

(b) $- 6 a^{3} b (3 a^{2} - 2 a b + 6 b^{2})$

Distribute: $- 6 a^{3} b \times 3 a^{2} + (- 6 a^{3} b) \times (- 2 a b) + (- 6 a^{3} b) \times 6 b^{2}$

Multiply: $- 18 a^{5} b + 12 a^{4} b^{2} - 36 a^{3} b^{3}$

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Multiply : (a) $4 x^{2} (2 x^{2} - 3 x + 5)$
(b) $- 6 a^{3} b (3 a^{2} - 2 a b + 6 b^{2})$

Short Answer

Step by step solution

Step 1

Step 2

Step 3Part(a) Step1. Multiply the binomials

Step 4Part(b) Step1. Multiply the binomials

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Multiply : (a)4x2(2x2-3x+5) (b)-6a3b(3a2-2ab+6b2)

Short Answer

Step by step solution

Step 1

Step 2

Step 3Part(a) Step1. 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

Statistics

Mechanics Maths

Discrete Mathematics

Geometry

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Multiply : (a) $4 x^{2} (2 x^{2} - 3 x + 5)$
(b) $- 6 a^{3} b (3 a^{2} - 2 a b + 6 b^{2})$