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

Answer:

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

Step-by-step 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