Compute the given expression.

$$(x + 3)(x + 6)+(x + 3)(x + 6)$$

$$\textbf{\textcolor{#4257b2}{Challenge}}$$

Simplify.

$$(5x^{-2})(2x^{-4})$$

Identify the degree of each term and the degree of the polynomial.

$$9a + 6$$

Multiply.

$$3x^2(x^3 + 5)$$

Simplify. Express using a positive exponent.

$$6^{-2}$$

Subtract

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

Simplify.

$$\dfrac{7^5}{7^3}$$

Multiply.

$$(2x + 1)(2x - 1)$$

Simplify.

$$(m^8)^4$$

Simplify. Express using exponents.

$$n^3 \cdot n$$

Multiply.

$$(x^3 + x^2 - x)(x^3 + x^2)$$

Add.

$-4x^4 + 6x^2 - 3x - 5$ and $6x^3 + 5x + 9$

Tell whether each expression is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.

$$-12ab^7 - 12$$

Multiply.

$$(3a^4)(2a^2)$$