91Ó°ÊÓ

Perform indicated operations. $$ \left(8 x^{2 y}-7 x^{y}+3\right)+\left(-4 x^{2 y}+9 x^{y}-14\right) $$

Simplify each expression by combining any like terms. Use the distributive property to remove any parentheses. See Section 2.1. $$ 2(x-5)+3(5-x) $$

Use the distributive property and multiply.See Sections 5.3 and \(5.5 .\) $$ \frac{1}{y}\left(5 y^{2}-6 y+5\right) $$

Perform indicated operations. $$ \left(14 z^{5 x}+3 z^{2 x}+z\right)-\left(2 z^{5 x}-10 z^{2 x}+3 z\right) $$

Simplify each expression by combining any like terms. Use the distributive property to remove any parentheses. See Section 2.1. $$ -3(w+7)+5(w+1) $$

Use the distributive property and multiply.See Sections 5.3 and \(5.5 .\) $$ \frac{2}{x}\left(3 x^{5}+x^{4}-2\right) $$

Solve. See the Concept Checks in this section. For Exercises III through \(114,\) match the expression with the operation needed to simplify each. A letter may be used more than once and a letter may not be used at all. $$ \left(x^{14}\right)^{23} $$ a. Add the exponents b. Subtract the exponents c. Multiply the exponents d. Divide the exponents e. None of these

If \(P(x)=3 x+3, Q(x)=4 x^{2}-6 x+3,\) and \(R(x)=5 x^{2}-7\) find the following. $$ P(x)+Q(x) $$

Solve. See the Concept Checks in this section. For Exercises III through \(114,\) match the expression with the operation needed to simplify each. A letter may be used more than once and a letter may not be used at all. $$ x^{14} \cdot x^{23} $$ a. Add the exponents b. Subtract the exponents c. Multiply the exponents d. Divide the exponents e. None of these

If \(P(x)=3 x+3, Q(x)=4 x^{2}-6 x+3,\) and \(R(x)=5 x^{2}-7\) find the following. $$ R(x)+P(x) $$