91Ó°ÊÓ

In Exercises \(63-82\), multiply using the method of your choice. $$\left(x^{2}+2\right)\left(x^{2}+3\right)$$

Use a vertical format to subtract the polynomials. $$\begin{array}{r} 4 x+2 \\ -(3 x-5) \\ \hline \end{array}$$

Simplify each exponential expression. Assume that variables represent nonzero real numbers. $$\left(\frac{x^{2}}{y^{3}}\right)^{-3}$$

In Exercises \(63-82\), multiply using the method of your choice. $$\left(x^{2}+4\right)\left(x^{2}-4\right)$$

Find each product. In each case, neither factor is a monomial. $$\left(x^{2}+2 x+1\right)\left(x^{2}-x+2\right)$$

Use a vertical format to subtract the polynomials. $$\begin{array}{r} 7 x^{2}-3 \\ -\left(-3 x^{2}+4\right) \\ \hline \end{array}$$

In Exercises \(53-78,\) divide the polynomial by the monomial. Check each answer by showing that the product of the divisor and the quotient is the dividend. $$\frac{20 x^{7} y^{4}-15 x^{3} y^{2}-10 x^{2} y}{-5 x^{2} y}$$

Simplify each exponential expression. Assume that variables represent nonzero real numbers. $$\left(\frac{x^{3}}{y^{2}}\right)^{-4}$$

In Exercises \(63-82\), multiply using the method of your choice. $$\left(x^{2}+5\right)\left(x^{2}-5\right)$$

In Exercises \(53-78,\) divide the polynomial by the monomial. Check each answer by showing that the product of the divisor and the quotient is the dividend. $$\frac{8 x^{6} y^{3}-12 x^{8} y^{2}-4 x^{14} y^{6}}{-4 x^{6} y^{2}}$$