egracewinston egracewinston

12-02-2021
Mathematics

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The area of a square is 4x^2+28x+49. What expression represents the length of each side of the square?

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2565579 2565579

16-02-2021

Answer:4x^2 +28x +49=(2x +7)^2

Step-by-step explanation:

a2±2ab+b2=(a±b)2

In this case

a=2x and b=7 ...

4x2+28x+49=(2x)2+(2⋅

(2x)⋅

7)+72=(2x+7)2

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