91Ó°ÊÓ

Problem: Simplify: \(\left(5 x^{2}-8\right)-(3 x-9)\) Incorrect Answer: \(\left(5 x^{2}-8\right)-(3 x-9)\) $$ \begin{aligned} &=5 x^{2}-8-3 x+9 \\ &=2 x^{2}+1 \end{aligned} $$

Problem: Simplify: \(\left(3 p^{3}\right)\left(4 p^{3}+p^{2}\right)\) $$ \begin{array}{r} \text { Incorrect Answer: }\left(3 p^{3}\right)\left(4 p^{3}+p^{2}\right) \\ =12 p^{9}+3 p^{6} \end{array} $$

Problem: Simplify: \(\left(7 n^{4}\right)\left(9 n^{6}\right)\) $$ \text { Incorrect Answer: } \begin{aligned} &\left(7 n^{4}\right)\left(9 n^{6}\right) \\ &=63 n^{(4)(6)} \\ &=63 n^{24} \end{aligned} $$ 95\. Problem: Simplify: \(\frac{15 n^{12}}{3 n^{4}}\) $$ \text { Incorrect Answer: } \begin{aligned} & \frac{15 n^{12}}{3 n^{4}} \\ &=5 n^{12+4} \\ &=5 n^{3} \end{aligned} $$

\(K_{a}=\frac{\left(1.34 \times 10^{-3}\right)\left(1.34 \times 10^{-3}\right)}{9.87 \times 10^{-2}}\)

Problem: Simplify: \((5 x-2)(x-3)\) Incorrect Answer: \((5 x-2)(x-3)\) $$ \begin{aligned} &=5 x(x)+5 x(-3)-2 x-2(3) \\ &=5 x^{2}-15 x-2 x-6 \\ &=5 x^{2}-17 x-6 \end{aligned} $$

Problem: Simplify: \(\frac{15 n^{12}}{3 n^{4}}\) $$ \text { Incorrect Answer: } \begin{aligned} & \frac{15 n^{12}}{3 n^{4}} \\ &=5 n^{12+4} \\ &=5 n^{3} \end{aligned} $$

\(\frac{x^{9}}{x^{5}}\)

\(C=\frac{\left(1.2 \times 10^{-5}\right)\left(1.5 \times 10^{-1}\right)}{1.8 \times 10^{-5}}\)

\(f=\frac{\left(6.67 \times 10^{-11}\right)\left(3 \times 10^{-1}\right)\left(9 \times 10^{-1}\right)}{\left(4 \times 10^{-1}\right)^{2}}\)

\(\frac{110 x^{9}}{300 x^{5}}\)