91Ó°ÊÓ

Complete factorization. \(\begin{aligned} 18 a^{3} b+3 a^{2} b^{2}-6 a b^{3} &=\quad\left(6 a^{2}+a b-2 b^{2}\right) \\ &=3 a b(3 a+\quad)(\quad-b) \end{aligned}\)

a. Any nonzero base raised to the 0 power is _________. b. Another way to write \(x^{-n}\) is to write its ________ and change the sign of the exponent.

Multiply. See Example 1 $$ \left(2 a^{2}\right)\left(3 a^{5}\right) $$

a. A factor can be moved from the denominator to the numerator or from the numerator to the denominator of a fraction if the ________ of its exponent is changed. b. A fraction raised to a power is equal to the reciprocal of the fraction raised to the __________ power.

Find the GCF of each list of terms. $$ 20 a^{2}, 35 a $$

Decide whether the terms are like or unlike terms. If they are like terms, add them. A. \(12 x, 5 x\) B. \(9 u^{2}, 10 u^{2}\) C. \(6 x^{2} y^{3}, 6 x^{2} y^{2}\) D. \(-27 x^{6} y^{4} z, 8 x^{6} y^{4} z^{2}\)

Multiply. See Example 1 $$ \left(3 x^{2}\right)\left(3 x^{9}\right) $$

Complete factorization. \(\begin{aligned} 2 x^{4}-1,250 &=2(\quad\quad\quad) \\\ &=2(\quad\quad)\left(x^{2}-25\right) \\\ &=2\left(x^{2}+25\right)(x+5)(\quad\quad\quad)\end{aligned}\)

Complete each factorization. $$ x^{2}-3 x-18=(x-6)(x\quad\square\quad 3) $$

Complete each solution to solve each equation. Solve: \(\begin{aligned} y^{2}-2 y-8 &=0 \\\\(y-4)(&)=0 \end{aligned}\) \(=0 \quad\) or \(\quad y+2=0\) \(y=4 \quad | \quad y=\)