Chapter 5: Q5.61 (page 530)

Multiply $(y - 3) (y^{2} - 5 y + 2)$ using (a) the distributive property and (b) the vertical method.

Short Answer

Expert verified

$M u l t i p l y t h e g i v e n b i n o m i a l s, w e g e t (y - 3) (y^{2} - 5 y + 2) y^{3} - 8 y^{2} + 17 y - 6$

Step by step solution

Step 1

$G i v e n I n f o r m a t i o n : M u l t i p l y (y - 3) (y^{2} - 5 y + 2) u \sin g (a) d i s t r i v u t i v e p r o p e r t y a n d (b) v e r t i c a l m e t h o d$

Step 2

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

Vertical addition is a method of adding where the numbers are lined up in columns according to their places value.

Part(a) Step1. Multiply binomial using distributive property.

$(a) D i s t r i b u t e y \times y^{2} - 5 y \times y + 2 y - 3 \times y^{2} + 3 \times 5 y - 3 \times 2 D i s t r i b u t e a g a i n y^{3} - 5 y^{2} + 2 y - 3 y^{2} + 15 y - 6 C o m b i n e l i k e t e r m s y^{3} - 8 y^{2} + 17 y - 6$

Part(b) Step1.Multiply binomial by vertical method.

$(b) y^{2} - 5 y + 2 \times (y - 3) M u l t i p l y y^{2} - 5 y + 2 b y - 3 - 3 y^{2} + 15 y - 6 M u l t i p l y y^{2} - 5 y + 2 b y y y^{3} - 5 y^{2} + 2 y A d d l i k e t e r m s y^{3} - 8 y^{2} + 17 y - 6$

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Multiply $(y - 3) (y^{2} - 5 y + 2)$ using (a) the distributive property and (b) the vertical method.

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step1. Multiply binomial using distributive property.

Part(b) Step1.Multiply binomial by vertical method.

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Multiply (y-3)(y2-5y+2)using (a) the distributive property and (b) the vertical method.

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step1. Multiply binomial using distributive property.

Part(b) Step1.Multiply binomial by vertical method.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Multiply $(y - 3) (y^{2} - 5 y + 2)$ using (a) the distributive property and (b) the vertical method.