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Chapter 7: Q47. (page 462)

Find the product.

(x鈭�3)(x+7)

Short Answer

Expert verified

The final answer isx2+4x鈭�21

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 (x−3)(x+7) .

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

x鈭�3x+7=xx+7鈭�3x+7=xx+x7鈭�3x鈭�37=x2+7x鈭�3x鈭�21=x2+4x鈭�21

Therefore, the final answer isx2+4x鈭�21.

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

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鈭�x+3

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