Chapter 5: Q. 5.57 (page 528)

Multiply : $(a) (x^{2} + 6) (x - 8) (b) (2 a b + 5) (4 a b - 4)$

Short Answer

Expert verified

$O p e n t h e b r a c k e t s a n d M u l t i p l e t h e B i n o m i a l s (a) (x^{2} + 6) (x - 8) x^{3} - 8 x^{2} + 6 x - 48 (b) (2 a b + 5) (4 a b - 4) 8 a^{2} b^{2} + 12 a b - 20$

Step by step solution

Step 1

$G i v e n I n f o r m a t i o n (a) (x^{2} + 6) (x - 8) (b) (2 a b + 5) (4 a b - 4)$

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

Part(a) Step1. Multiply by FOIL method

$(a) 1 . M u l t i l p y f i r s t t e r m x^{3} 2 . M u l t i p l y o u t e r t e r m x^{3} - 8 x^{2} 3 . M u l i t p l y i n n e r t e r m s x^{3} - 8 x^{2} + 6 x 4 . M u l t i p l y l a s t t e r m s x^{3} - 8 x^{2} + 6 x - 48 5 . C o m b i n e l i k e t e r m s x^{3} - 8 x^{2} + 6 x - 48$

Part(b) Step1 Multiply by FOIL Method

$(b) 1 . M u l t i p l y f i r s t t e r m 8 a^{2} b^{2} 2 . M u l i t p l y o u t e r t e r m s 8 a^{2} b^{2} - 8 a b 3 . M u l t i p l y i n n e r t e r m s 8 a^{2} b^{2} - 8 a b + 20 a b 4 . M u l t i p l y l a s t t e r m s 8 a^{2} b^{2} - 8 a b + 20 a b - 20 5 . C o m b i n e l i k e t e r m s 8 a^{2} b^{2} + 12 a b - 20$

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Multiply : $(a) (x^{2} + 6) (x - 8) (b) (2 a b + 5) (4 a b - 4)$

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step1. Multiply by FOIL method

Part(b) Step1 Multiply by FOIL Method

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Multiply :(a)(x2+6)(x-8)(b)(2ab+5)(4ab-4)

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step1. Multiply by FOIL method

Part(b) Step1 Multiply by FOIL Method

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

Calculus

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Study anywhere. Anytime. Across all devices.

Multiply : $(a) (x^{2} + 6) (x - 8) (b) (2 a b + 5) (4 a b - 4)$