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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 6: Q 6.68. (page 717)

Multiply: $(5 x + 9) (4 x + 3)$

Short Answer

Expert verified

The required answer is $20 x^{2} + 51 x + 27$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$(5 x + 9) (4 x + 3)$

We have to multiply the given expression.

02

Step 2. Use the distributive property to multiply.

$(5 x + 9) (4 x + 3)$

Now distribute $(4 x + 3)$ ,

$= 5 x \cdot (4 x + 3) + 9 \cdot (4 x + 3)$

distribute again,

$= 20 x^{2} + 15 x + 36 x + 27$

Combine like terms,

$= 20 x^{2} + 51 x + 27$

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