Chapter 5: Q5.56 (page 527)

Multiple : $(a) (b - 3) (b + 6) (b) (4 y + 5) (4 y - 10)$

Short Answer

Expert verified

$(a) (b - 3) (b + 6) b \times b + 6 b - 3 b - 18 b^{2} + 3 b - 18 (b) (4 y + 5) (4 y - 10) 4 y \times 4 y - 10 \times 4 y + 20 y - 50 16 y^{2} - 40 y + 20 y - 50 16 y^{2} - 20 y - 50$

Step by step solution

Step 1

$G i v e n i n f o r m a t i o n (a) (b - 3) (b + 6) (b) (4 y + 5) (4 y - 10)$

Step 2

The mnemonicFOILFOILtells us exactly what terms to multiply, and in what order:

First – multiply thefirst terms
Outside – multiply theoutside/outer terms
Inside – multiply theinside/inner terms
Last – multiply thelast terms

Step 3

$P a r t (a) . S t e p 1 M u l t i p l e b y F O I L m e t h o d (a) 1 . M u l t i p l y f i r s t t e r m b^{2} 2 . M u l t i p l y o u t e r t e r m b^{2} + 6 b 3 . M u l t i p l y i n n e r t e r m b^{2} + 6 b - 3 b 4 . M u l t i l p y l a s t t e r m b^{2} + 6 b - 3 b - 18 5 . C o m b i n e l i k e t e r m s b^{2} + 3 b - 18$

Step 4

$P a r t (b) . S t e p 1 M u l t i p l y b y F O I L m e t h o d (b) 1 . M u l t i p l y f i r s t t e r m 16 y^{2} 2 . M u l i t p l y o u t e r t e r m 16 y^{2} - 40 y 3 . M u l i t p l y i n n e r t e r m 16 y^{2} - 40 y + 20 y 4 . M u l t i p l y l a s t t e r m 16 y^{2} - 40 y + 20 y - 50 5 . C o m b i n e l i k e t e r m 16 y^{2} - 20 y - 50$

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Multiple : $(a) (b - 3) (b + 6) (b) (4 y + 5) (4 y - 10)$

Short Answer

Step by step solution

Step 1

Step 2

Step 3

Step 4

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Multiple :(a)(b-3)(b+6)(b)(4y+5)(4y-10)

Short Answer

Step by step solution

Step 1

Step 2

Step 3

Step 4

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Probability and Statistics

Discrete Mathematics

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Multiple : $(a) (b - 3) (b + 6) (b) (4 y + 5) (4 y - 10)$