Add or subtract, as indicated. $(5x^2-4x+7)+(-4x^2+3x-5)$

Factor out the greatest common factor from each polynomial. See Example 1. (5r-6)(r+3)-(2r-1)(r+3)

Write each rational expression in lowest terms. 3(3 - t) / (t + 5)(t - 3)

Add or subtract, as indicated. $(3m^5-3m^2+4)+(-2m^3-m^2+6)$

Simplify each expression. Assume all variables represent nonzero real numbers. (6⁴)³

Factor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)

Use set notation, and list all the elements of each set. {74, 68, 62, ..., 38}

Use set notation, and list all the elements of each set. {x | x is a natural number greater than 8 and less than 15}

Factor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)²+2(m-1)³

Multiply or divide as indicated. Write answers in lowest terms as needed. (4/5)∙(6/7)

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers. -12x^1/2

Write each rational expression in lowest terms. 8k + 16 / 9k + 18

Use set notation, and list all the elements of each set. {x | x is a natural number not greater than 4}

Add or subtract, as indicated. $3(8p^2-5p)-5(3p^2-2p+4)$

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers. -5z^2/3

Simplify each expression. Assume all variables represent nonzero real numbers. (-2x⁵)⁵

Factor out the greatest common factor from each polynomial. See Example 1. 5(a+3)³-2(a+3)+(a+3)²

Multiply or divide as indicated. Write answers in lowest terms as needed. (5/9)∙(2/7)

Insert ∈ or ∉ in each blank to make the resulting statement true. 6 _____ {3, 4, 5, 6}

Find each sum or difference. -6 + (-13)

Concept Check When directed to completely factor the polynomial $4x^2{y}^5-8x{y}^3$,a student wrote $2x{y}^3(2x{y}^2-4)$. When the teacher did not give him full credit, he complained because when his answer is multiplied out, the result is the original polynomial. Give the correct answer.

Write each rational expression in lowest terms. m² - 4m + 4 / m² + m - 6

Add or subtract, as indicated. $-(8x^3+x-3)+(2x^3+x^2)-(4x^2+3x-1)$

Multiply or divide as indicated. Write answers in lowest terms as needed. (3/20)∙(5/21)

Concept Check Kurt factored 16a²-40a-6a+15 by grouping and obtained (8a-3)(2a-5). Callie factored the same polynomial and gave an answer of (3-8a)(5-2a). Which answer is correct?

Simplify each expression. Assume all variables represent nonzero real numbers. -(2x⁰y⁴)³

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers. p^5/4

Find each product. (14r-1)(17r+2)

Find each sum or difference. -15+6

Insert ∈ or ∉ in each blank to make the resulting statement true. 5 ____ {4, 6, 8, 10}