The area of a rectangle is given by the product of its length and its width. In this case, the length of the rectangle is k^2 + 3 and the width is k^2 + 7.
So, the area of the rectangle can be expressed as:
(k^2 + 3)(k^2 + 7)
To simplify this expression, we can use the distributive property:
k^2(k^2 + 7) + 3(k^2 + 7)
Expanding further:
k^4 + 7k^2 + 3k^2 + 21
Combining like terms:
k^4 + 10k^2 + 21
Therefore, the area of the entire rectangle is k^4 + 10k^2 + 21.
A rectangle has a height of
k^2+3
and a width of
k^2+7
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
1 answer
1 answer