Q. 5.57 Multiply :(a)聽(x2+6)(x-8)(b)聽(... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

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 鈥� multiply thefirst terms
Outside 鈥� multiply theoutside/outer terms
Inside 鈥� multiply theinside/inner terms
Last 鈥� 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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91影视

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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91影视

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

Applied Mathematics

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

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