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Chapter 7: Q50. (page 462)

Find the product.

(2x+5)(5x+2)

Short Answer

Expert verified

The final answer is 10x2+29x+10.

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 (2x+5)(5x+2).

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

2x+55x+2=2x5x+2+55x+2=2x5x+2x2+55x+52=10x2+4x+25x+10=10x2+29x+10

Therefore, the final answer is 10x2+29x+10.

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