91Ó°ÊÓ

Use a vertical format to subtract the polynomials. $$\begin{array}{r} 3 y^{4}-4 y^{2}+7 \\ -\left(-5 y^{4}-6 y^{2}-13\right) \\ \hline \end{array}$$

Use a vertical format to find each product. $$\begin{array}{r}y^{2}-5 y+3 \\\4 y-5 \\\\\hline\end{array}$$

Find each product. As we said in the Section 5.3 opener, cut to the chase in each part of the polynomial multiplication: Use only the special-product formula for the sum and difference of two terms or the formulas for the square of a binomial. $$\left[\left(1-a^{3} b^{3}\right)\left(1+a^{3} b^{3}\right)\right]^{2}$$

In Exercises \(63-82\), multiply using the method of your choice. $$\left(\frac{1}{4} x^{2}+16\right)\left(\frac{3}{4} x^{2}-4\right)$$

Use a vertical format to subtract the polynomials. $$\begin{array}{r} 5 y^{3}+6 y^{2}-3 y+10 \\ -\left(6 y^{3}-2 y^{2}-4 y-4\right) \\ \hline \end{array}$$

Use a vertical format to find each product. $$\begin{array}{r}2 x^{3}+x^{2}+2 x+3 \\\\\quad x+4 \\\\\hline\end{array}$$

Find each product. As we said in the Section 5.3 opener, cut to the chase in each part of the polynomial multiplication: Use only the special-product formula for the sum and difference of two terms or the formulas for the square of a binomial. \((x y-3)^{2}(x y+3)^{2}\) (Do not begin by squaring a binomial.)

Write each number in decimal notation without the use of exponents. $$3.4 \times 10^{9}$$

In Exercises \(79-82,\) simplify each expression. Divide the sum of \((y+5)^{2}\) and \((y+5)(y-5)\) by \(2 y\)

Use a vertical format to find each product. $$\begin{aligned}&3 y^{3}+2 y^{2}+y+4\\\&y+3\end{aligned}$$