Question

the area of a desktop is represented by x^2 - 49. find the dimensions of the desktop in terms of x. show work please.​

Answer 1

The dimensions of the desktop are (x+7) units by (x-7) units

Explanation:

we know that

The difference of squares is equal to

`a^2-b^2=(a+b)(a-b)`

we have

`x^2-49`

Remember that

`49=7^2`

substitute

`x^2-7^2`

Applying difference of squares

`x^2-7^2=(x+7)(x-7)`

therefore

The dimensions of the desktop are (x+7) units by (x-7) units