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Chapter 7: Q56. (page 462)

Find the product.

(2r+5t)2

Short Answer

Expert verified

The final answer is 4r2+20rt+25t2.

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. Expand the identity, (a+b)2.

a+b2=a2+2ab+b2鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌�鈥�鈥�鈥�.1

03

Step 3. Calculate the product (5x+4)2.

Use equation (1) to find the product.

2r+5t2=2r2+22r5t+5t2=22r2+20rt+52t2=4r2+20rt+25t2

Therefore, the final answer is 4r2+20rt+25t2.

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