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PHOTOGRAPHY A photo isx+6 inches byx-6 inches. What is the area of the photo?

Short Answer

Expert verified

The area of the photo is x2−36.

Step by step solution

01

Step 1. Write formula for area of photo.

Area of rectangle is given by A=lengthl×widthw. Area pf photo is

A=x+6x−6

02

Step 2. Write a pattern of product of sum and difference.

The product ofx+y andx-y is the square of x minus square of y, that is,

x+yx−y=x−yx+y=x2−y2

03

Step 3. Apply pattern of product of sum and difference.

Apply the pattern of product of sum and difference to the given expression.

x2−62

04

Step 4. Simplify.

Simplify the above obtained expression.

x2−36

Therefore, the area of the photo is x2−36.

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