Question

1. the area of the rectangle is $13x^{3}-2x - 3$ in². the area of the triangle is $6x^{2}-4x + 2$ in². what is the area of the shaded region?

Explanation:

Step1: Subtract the area of the triangle from the area of the rectangle

$$(13x^{3}-2x - 3)-(6x^{2}-4x + 2)$$

Step2: Remove the parentheses

$$13x^{3}-2x - 3-6x^{2}+4x - 2$$

Step3: Combine like - terms

$$13x^{3}-6x^{2}+(-2x + 4x)+(-3 - 2)$$
$$13x^{3}-6x^{2}+2x - 5$$

Answer:

The area of the shaded region is \(13x^{3}-6x^{2}+2x - 5\) \(in^{2}\)