Chapter 6: Q 238. (page 728)

In the following exercises, multiply the following binomials using:
ⓐ the Distributive Property
ⓑ the FOIL method
ⓒ the Vertical Method.
$(y + 9) (y + 3)$

Short Answer

Expert verified

The required answer is $y^{2} + 12 y + 27$ .

Step by step solution

Part (a) Step 1. Given information.

The given expression is:

$(y + 9) (y + 3)$

Part (a) Step 2. Use the distributive property to multiply.

$(y + 9) (y + 3)$

distribute $(y + 3)$ ,

$= y \cdot (y + 3) + 9 \cdot (y + 3)$

distribute again,

$= y^{2} + 3 y + 9 y + 27$

Combine like terms,

$= y^{2} + 12 y + 27$

Part (b) Step 1. Use the FOIL method to multiply.

$(y + 9) (y + 3) = y \cdot y + y \cdot 3 + 9 \cdot y + 9 \cdot 3 = y^{2} + 3 y + 9 y + 27 = y^{2} + 12 y + 27$

Part (c) Step 1. Use the Vertical Method to multiply.

$(y + 9) (y + 3)$

Use vertical method,

$y + 9 \times y + 3 3 y + 27 y^{2} + 9 y y^{2} + 12 y + 27$

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In the following exercises, multiply the following binomials using:
ⓐ the Distributive Property
ⓑ the FOIL method
ⓒ the Vertical Method.
$(y + 9) (y + 3)$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Use the distributive property to multiply.

Part (b) Step 1. Use the FOIL method to multiply.

Part (c) Step 1. Use the Vertical Method to multiply.

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In the following exercises, multiply the following binomials using:ⓐ the Distributive Propertyⓑ the FOIL methodⓒ the Vertical Method.y+9y+3

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Use the distributive property to multiply.

Part (b) Step 1. Use the FOIL method to multiply.

Part (c) Step 1. Use the Vertical Method to multiply.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Calculus

Probability and Statistics

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, multiply the following binomials using:
ⓐ the Distributive Property
ⓑ the FOIL method
ⓒ the Vertical Method.
$(y + 9) (y + 3)$