Q48. Find the product.(3a鈭�2)(6a+5)... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q48. (page 462)

Find the product.
$(3 a 鈭� 2) (6 a + 5)$

Short Answer

Expert verified

The final answer is $18 a^{2} + 3 a 鈭� 10$ .

Step by step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define the power of a product rule.

Power of a product rule states that if the two exponents of the same base are multiplied then the exponents are added and base remains the same.

$a^{m} . a^{n} = a^{m + n}$

Where, $a$ is any non-zero real number.

Step 3. Calculate the product (3a−2)(6a+5).

Use the power of a product rule to find the product.

$\begin{matrix} (3 a 鈭� 2) (6 a + 5) = 3 a (6 a + 5) 鈭� 2 (6 a + 5) \\ = 3 a (6 a) + 3 a (5) 鈭� 2 (6 a) 鈭� 2 (5) \\ = 18 a^{2} + 15 a 鈭� 12 a 鈭� 10 \\ = 18 a^{2} + 3 a 鈭� 10 \end{matrix}$

Therefore, the final answer is $18 a^{2} + 3 a 鈭� 10$ .

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91影视

Find the product.
$(3 a 鈭� 2) (6 a + 5)$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the power of a product rule.

Step 3. Calculate the product (3a−2)(6a+5).

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