Factor by any method. See Examples 1–7. 64+(3x+2)³

Multiply or divide as indicated. 55.76 * 72

Calculate each value mentally. (0.25³)(400³)

Factor by any method. See Examples 1–7. $(x+y{)}^3-(x-y{)}^3$

Perform the indicated operations. Assume all variables represent positive real numbers. $\sqrt[3]{64xy^2} + \sqrt[3]{27x^4y^5}$

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. {x | x ∈ M or x ∈ Q}

Evaluate each expression for $p=-4$, $q=8$, and $r=-10$. $\frac{-(p + 2)^2 - 3r}{2 - q}$

Calculate each value mentally. (24²)(0.5²)

Multiply or divide as indicated. 0.07 × 0.004

Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Natural numbers

Evaluate each expression for $p=-4$, $q=8$, and $r=-10$. $\frac{3p + 3(4 + p)^3}{r + 8}$

Multiply or divide as indicated. 78.65 ÷ 11

Perform the indicated operations. Assume all variables represent positive real numbers. $\sqrt[4]{81x^6y^3} - \sqrt[4]{16x^{10}y^3}$

Factor by any method. See Examples 1–7. (3a+5)²-18(3a+5)+81

Calculate each value mentally. 15⁴/5⁴

Multiply or divide as indicated. 32.48 ÷ 11.6

Perform the indicated operations. Assume all variables represent positive real numbers. 5√6 + 2√10

Calculate each value mentally. (0.2^2/3)(40^2/3)

Identify the property illustrated in each statement. Assume all variables represent real numbers. 6∙12+6∙15=6(12+15)

Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Integers

Factor by any method. See Examples 1–7. $(x+y{)}^2-(x-y{)}^2$

The special products can be used to perform selected multiplications.

On the left, we use (x+y)(x-y) = x²-y². On the right, (x-y)² = x²-2xy+y².

Use special products to evaluate each expression. 63 x 57

Calculate each value mentally. (0.1^3/2)(90^3/2)

Factor by any method. See Examples 1–7. $4z^4-7z^2-15$

Perform the indicated operations. Assume all variables represent positive real numbers. √6(3 + √7)

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4k^-1+k^-2

Identify the property illustrated in each statement. Assume all variables represent real numbers. (t-6)∙(1/t-6)=1, if t-6 ≠ 0

Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Irrational numbers

The special products can be used to perform selected multiplications.

On the left, we use (x+y)(x-y) = x²-y². On the right, (x-y)² = x²-2xy+y².

Use special products to evaluate each expression. 102²

Multiply or divide as indicated.19.967÷9.74