Q5.58 Multiply :(a)聽(y2+7)(y-9)(b)聽(... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q5.58 (page 528)

Multiply : $(a) (y^{2} + 7) (y - 9) (b) (2 x y + 3) (4 x y - 5)$

Short Answer

Expert verified

$M u l t i p l y t h e g i v e n b i n o m i a l s, w e g e t (a) (y^{2} + 7) (y - 9) y^{3} - 9 y^{2} + 7 y - 63 (b) (2 x y + 3) (4 x y - 5) 8 x^{2} y^{2} + 2 x y - 15$

Step by step solution

Step 1

$G i v e n I n f o r m a t i o n (a) (y^{2} + 7) (y - 9) (b) (2 x y + 3) (4 x y - 5)$

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) Step 1.Multiply binomials by FOIL method

$(a) 1 . M u l t i p y f i r s t t e r m s y^{3} 2 . M u l i t p l y o u t e r t e r m s y^{3} - 9 y^{2} 3 . M u l t i p l y i n n e r t e r m s y^{3} - 9 y^{2} + 7 y 4 . M u l t i p l y l a s t t e r m s y^{3} - 9 y^{2} + 7 y - 63 5 . C o m b i n e l a s t t e r m s y^{3} - 9 y^{2} + 7 y - 63$

Part(b).Step 1.Multiply binomials by FOIL method

$(b) 1 . M u l t i p l y f i r s t t e r m s 8 x^{2} y^{2} 2 . M u l t i p l y o u t e r t e r m s 8 x^{2} y^{2} - 10 x y 3 . M u l t i p l y i n n e r t e r m s 8 x^{2} y^{2} - 10 x y + 12 x y 4 . M u l i t p l y l a s t t e r m s 8 x^{2} y^{2} - 10 x y + 12 x y - 15 5 . C o m b i n e l a s t t e r m s 8 x^{2} y^{2} + 2 x y - 15$

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91影视

Multiply : $(a) (y^{2} + 7) (y - 9) (b) (2 x y + 3) (4 x y - 5)$

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step 1.Multiply binomials by FOIL method

Part(b).Step 1.Multiply binomials by FOIL method

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91影视

Multiply :(a)(y2+7)(y-9)(b)(2xy+3)(4xy-5)

Short Answer

Step by step solution

Step 1

Step 2

Part(a) Step 1.Multiply binomials by FOIL method

Part(b).Step 1.Multiply binomials by FOIL method

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Multiply : $(a) (y^{2} + 7) (y - 9) (b) (2 x y + 3) (4 x y - 5)$