In Exercises 49–56, factor each perfect square trinomial. x^2−14x+49

Rewrite each expression without absolute value bars. |300|

Simplify each exponential expression in Exercises 23–64. $\frac{25a^{13}{b}^4}{-5a^2{b}^3}$

Rationalize the denominator. $\frac{7}{\sqrt{5} - 2}$

Rationalize the denominator. √2/√3

Rationalize the denominator.

$\frac{5}{\sqrt3-1}$

In Exercises 15–58, find each product. (x+2)³

In Exercises 33–68, add or subtract as indicated. 3/(x+1) − 3/x

Rationalize the denominator.

$\frac{6}{\sqrt5+\sqrt3}$

In Exercises 49–56, factor each perfect square trinomial. 4x^2+4x+1

In Exercises 50 - 53, rationalize the denominator. 14/(√7 - √5)

Rewrite each expression without absolute value bars. |12 - π|

Rationalize the denominator. $\frac{11}{\sqrt{7} - \sqrt{3}}$

Rewrite each expression without absolute value bars. |7 - π|

Simplify each exponential expression in Exercises 23–64. (4x^3)^−2

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. ³√8

In Exercises 15–58, find each product. (x−1)³

In Exercises 33–68, add or subtract as indicated. 3x/(x−3) − (x+4)/(x+2)

Factor each perfect square trinomial. $64x^2-16x+1$

Rewrite each expression without absolute value bars. -3/|-3|

Simplify each exponential expression in Exercises 23–64. $\frac{10x^4 y^9}{30x^{12} y^{-3}}$

Simplify the radical expression. ∛81

Factor using the formula for the sum or difference of two cubes. $x^3+64$

In Exercises 15–58, find each product. (2x−3)³

In Exercises 33–68, add or subtract as indicated. 3/(2x+4) + 2/(3x+6)

Rewrite each expression without absolute value bars. ||-3|-|-7||

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. $\sqrt[4]{-16}$

Simplify each exponential expression in Exercises 23–64. ${\left(\frac{3x^4}{y}\right)}^{-3}$

Factor using the formula for the sum or difference of two cubes. $x^3-27$

In Exercises 33–68, add or subtract as indicated. 4/(x²+6x+9) + 4/(x+3)