Find the sum. .

$$\left(5 x^2-2 x+3\right)+\left(x^2+x+2\right)$$

Classify the polynomial by its degree and the number of terms.

$$4 x y^2+3 x^2 y^2+5 x y$$

Use the FOIL method to find each product.

$$(x-3)(x-5)$$

$$\square- \square x- \square x+ \square$$

Classify each polynomial by its degree and the number of terms.

$$8 x^2-3 y+7$$

Simplify the expression.

(3-2 x) 8

Add or subtract.

$$\left(3 x^2-6 x+2\right)-\left(8 x+6-5 x^2\right)$$

The area of the shaded triangle is $5 x^2+3 x-4$. What is the area of the entire figure?

In square inches, the area of the square is $4 x^2-2 x-6$ and the area of the triangle $2 x^2+4 x-5$. What polynomial represents the area of the shaded region?

Find the product.

$$-10 x^4 y^4\left(x^4-4 x^4 y^4+4 y^3\right)$$

Use the distributive or FOIL method to find the product.

$$(3 p+5 q)(-3 p+q)$$

Add or subtract.

$$\left(7 q^3 r^2+14 q r^2+21 q\right)-\left(14 q^3 r^2-3 q r^2-5 q\right)$$

Simplify the expression.

$$3 p^2 q+3 p\left(2 p^2+2 p q-4\right)+5 p^3$$

Find the product.

$$7 a^3 b^4\left(-3 a^2+8 a b^2-7 a^2 b\right)$$

Simplify the expression.

7(y-5)