Chapter 5

\(\left(9 z^{2}+12 z+4\right) \div(3 z+2)\)

a. Simplify: \((x+5)(x+8)\) b. Simplify: \((x-5)(x-8)\) c. Describe the difference in the products.

\(\left(x^{3}-x^{2}-4\right)-\left(x^{3}-x-4\right)\)

\(\left(2.4 \times 10^{5} \mathrm{~cm}\right)\left(3 \times 10^{8} \mathrm{~cm}\right)\)

\(\left(y^{-3}\right)^{2}\)

\(\left(25 w^{2}+20 w+4\right) \div(5 w+2)\)

\(\left(w^{3}-w-5\right)-\left(w^{3}-w^{2}-5\right)\)

\(\left(1.5 \times 10^{4} \mathrm{~cm}\right)\left(4 \times 10^{7} \mathrm{~cm}\right)\)

\(\left(b^{-4}\right)^{2}\)

\(\left(9 x^{2}-6 x+1\right) \div(3 x-1)\)

a. Simplify: \((x-5)(x+8)\) b. Simplify: \((x+5)(x-8)\) c. Describe the difference in the products.

\(\left(\frac{5}{8} p+\frac{2}{9}\right)+\left(\frac{1}{6} p+\frac{1}{3}\right)\)

\(\left(8 \times 10^{4} \mathrm{in} .\right)\left(2 \times 10^{3} \mathrm{in} .\right)\left(2 \times 10^{4} \mathrm{in} .\right)\)

\(8^{-2}\)

\(\left(16 x^{2}-8 x+1\right) \div(4 x-1)\)

a. Simplify: \((x-3)(x+5)\) b. Simplify: \((x+3)(x-5)\) c. Describe the difference in the products.

\(\left(\frac{5}{9} a+\frac{3}{8}\right)+\left(\frac{1}{6} a+\frac{1}{4}\right)\)

\(\left(x^{2}+8 x+10\right) \div(x+2)\)

\(\left(8 b^{2}-\frac{7}{10} b+5\right)-\left(6 b^{2}-\frac{1}{10} b+3\right)\)

\((3.14)\left(2.4 \times 10^{-8} \mathrm{~km}\right)^{2}\)

\(\left(x^{2}+10 x+18\right) \div(x+2)\)

\(\left(10 c^{2}-\frac{9}{10} c+8\right)-\left(7 c^{2}-\frac{1}{10} c+2\right)\)

\((3.14)\left(1.8 \times 10^{-5} \mathrm{~km}\right)^{2}\)

\(\left(x^{2}-8 x+10\right) \div(x+2)\)

\((5 c-6)-(9 c-8)-(4 c+11)\)

\((3.14)\left(3 \times 10^{-1} \mathrm{~cm}\right)^{2}\left(4 \times 10^{-1} \mathrm{~cm}\right)\)

\(\left(\frac{3 x^{2}}{y^{5}}\right)^{2}\left(\frac{x}{y}\right)\)

\((2 x-9)-(3 x-4)-(7 x+8)\)

\((3.14)\left(4 \times 10^{-1} \mathrm{~cm}\right)^{2}\left(2 \times 10^{-1} \mathrm{~cm}\right)\)

\(\left(\frac{4 w^{3}}{q^{5}}\right)^{2}\left(\frac{w}{q}\right)\)

\(\left(x^{2}+11 x+15\right) \div(x+3)\)

\((9-4 r)-\left(5 r+7 r^{2}\right)-\left(3 r^{2}+1\right)\)

\(\frac{9 \times 10^{8} \mathrm{~cm}^{2}}{2 \times 10^{5} \mathrm{~cm}}\)

\(\left(\frac{5 p}{6}\right)\left(\frac{3}{p}\right)^{2}\)

\(\left(x^{2}+13 x+18\right) \div(x+3)\)

\((5-8 k)-\left(k+3 k^{2}\right)-\left(4 k^{2}+1\right)\)

\(\frac{7 \times 10^{9} \mathrm{~cm}^{2}}{2 \times 10^{4} \mathrm{~cm}}\)

\(\left(\frac{5 a}{12}\right)\left(\frac{3}{a}\right)^{2}\)

\(\left(x^{2}+11 x+15\right) \div(x-3)\)

\(\left(5 m^{2}\right)\left(3 m^{9}\right)\)

\(\frac{9 \times 10^{-8} \mathrm{~cm}^{2}}{2 \times 10^{-5} \mathrm{~cm}}\)

\((6 x)^{2}(2 x)^{3}\)

\(\left(x^{2}+13 x+18\right) \div(x-3)\)

\((x+6)(x+6)\)

\(\left(6 c^{2}\right)\left(9 c^{7}\right)\)

\(\frac{7 \times 10^{-9} \mathrm{~cm}^{2}}{2 \times 10^{-4} \mathrm{~cm}}\)

\((9 a)^{2}(2 a)^{3}\)

\(\left(2 x^{2}+9 x+20\right) \div(x+4)\)

\(\left(-4 a^{3}\right)\left(-a^{5}\right)\)

\(\left(-x^{2}\right)^{3}\)