0. Review of Algebra

Find each product. $(a-b)(a^2+ab+b^2)$

In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (7x⁴y²−5x²y²+3xy)+(−18x⁴y²−6x²y²−xy)

In Exercises 67–82, find each product. (7x² y+1)(2x² y−3)

Is the algebraic expression a polynomial? If it is, write the polynomial in standard form. (2x+3)/x

In Exercises 1–4, is the algebraic expression a polynomial? If it is, write the polynomial in standard form. 2x+3x²−5

In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (5x²−7x−8)+(2x²−3x+7)−(x²−4x−3)

In Exercises 15–58, find each product. (x+1)(x²−x+1)

In Exercises 15–58, find each product. (7x³+5)(x²−2)

In Exercises 15–58, find each product. (7x²−2)(3x²−5)

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

In Exercises 15–58, find each product. (x+5)²

In Exercises 67–82, find each product. (7xy²−10y)(7xy²+10y)

In Exercises 83–90, perform the indicated operation or operations. (2x−7)⁵/(2x−7)³

In Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. (x−1)/(x²+11x+10)

In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (x²−14x+49)/(x²−49)