Question

fine the area of the rectangle if one side is 3x^3 and the other is -4x^3 + 5

Answer 1

To find the area of a rectangle, you multiply the lengths of its sides. Given one side is \( 3x^3 \) and the other side is \( -4x^3 + 5 \), we can calculate the area as follows:

\[
\text{Area} = \text{Side 1} \times \text{Side 2}
\]

\[
\text{Area} = 3x^3 \cdot (-4x^3 + 5)
\]

Now, distribute \( 3x^3 \) across \(-4x^3 + 5\):

\[
= 3x^3 \cdot (-4x^3) + 3x^3 \cdot 5
\]

Calculating each term:

1. \( 3x^3 \cdot (-4x^3) = -12x^{6} \)
2. \( 3x^3 \cdot 5 = 15x^3 \)

Putting it all together, we get:

\[
\text{Area} = -12x^6 + 15x^3
\]

Thus, the area of the rectangle is:

\[
\boxed{-12x^6 + 15x^3}
\]