Answer:
24x^4- 12x^2 or 12x^2 (2x^2-1)
Explanation:
We are given the length and width of the rectangle:
Length=l=4x^2
and
Width=w=6x^2-3
The formula for the area of rectangle is:
Area=length*width
Area=l*w
Putting the values of l and w into the formula:
area=(4x^2 )(6x^2-3)
=24x^(2+2)-12x^2
=24x^4- 12x^2
It can also be written as: taking 12x^2 as common:
=12x^2 (2x^2-1)