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Chapter 7: Q49. (page 462)

Find the product.

(3r鈭�7t)(2r+5t)

Short Answer

Expert verified

The final answer is 6r2+rt鈭�35t2.

Step by step solution

01

Step 1. Define an expression.

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

02

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.

am.an=am+n

Where,a is any non-zero real number.

03

Step 3. Calculate the product (3r−7t)(2r+5t).

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

3r鈭�7t2r+5t=3r2r+5t鈭�7t2r+5t=3r2r+3r5t鈭�7t2r鈭�7t5t=6r2+15rt鈭�14rt鈭�35t2=6r2+rt鈭�35t2

Therefore, the final answer is 6r2+rt鈭�35t2.

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Most popular questions from this chapter

Simplify the expression

5x2y22xy3z34xyz

Choose a term from the Key Vocabulary list above that best describes the given expression.

5鈭�2=152

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

122

Simplify the expression

鈭�2f2g3h23

Find each product.

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