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

Calculus

Decision Maths

Pure Maths

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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