Problem 64
Determine which of the values (a) through (d), if any, must be excluded from the domain of the variable in each expression. (a) \(x=0\) (b) \(x=1\) (c) \(x=0\) (d) \(x=-1\) \(\frac{x^{3}}{x^{2}-1}\)
Problem 68
Factor each polynomial. $$ 3 x^{2}-10 x+8 $$
Problem 68
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. $$ (x-1)(x+1) $$
Problem 73
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. $$ (x-4)^{2} $$
Problem 73
Evaluate each expression. $$ \frac{3}{4}+\frac{2}{5} $$
Problem 79
Evaluate each expression. $$ \frac{5}{24}-\frac{8}{15} $$
Problem 80
Evaluate each expression. $$ \frac{3}{14}-\frac{2}{21} $$
Problem 82
Simplify each expression. $$25^{3 / 2}$$
Problem 85
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. $$ (x-2 y)^{2} $$
Problem 86
Simplify each expression. $$\left(\frac{27}{8}\right)^{2 / 3}$$