How is the distributive law used when dividing a polynomial by a binomial?

Combine like terms. Write answer in descending order:

$$3a^4 - 2a + 2a + a^4$$

Subtract:

$$(a^2 - 3a - 2) - (2a^2 - 6a - 2)$$

Combine like terms. Write answer in descending order:

$$5a +7a^2 +3a$$

Simplify. Do not use negative exponents in the answer:

$$x^{-4} \cdot x^{-7}$$

Divide. \

$$\left(6 x^3-8 x^2-14 x+13\right) \div(x+2)$$

Add or subtract, as indicated:

$$(5a^2b - 7ab^2) - (3a^2b + ab^2) + (a^2b - 2ab^2)$$

Simplify. Assume that no denominator is 0 and that $0^0$ is not considered:

$$\dfrac{(a-b)^{4}}{(a-b)^{3}}$$

Multiply:

$$( t - 4) ( t + 3)$$

Divide:

$$(x + 6x^4 - 4 - 3x^2) \div ( 1 + 2x^2 )$$

Simplify. \

$$-2 x^5\left(x^7\right)+\left(x^3\right)^4-\left(4 x^5\right)^2\left(-x^2\right)$$

Multiply. Try to recognize the type of product before multiplying:

$$(-m + 5) (2m -9)$$

Add or subtract, as indicated. \

$$\left(5 a^5-2 a^3-9 a^2\right)+\left(2 a^5+a^3\right)+\left(-a^5-3 a^2\right)$$

Subtract:

$$( - 9 t + 12) - ( t^2 + 3 t - 1)$$