0. Review of Algebra

Find each product. (r-3s+t)(2r-s+t)

Find each product. Assume all variables represent positive real numbers. (p^1/2-p^-1/2)(p^1/2+p^-1/2)

In Exercises 69–82, simplify each complex rational expression. (1/(x+h)² − 1/x²)/h

Perform the indicated operations. See Examples 2–6.

$-z^3(9-z)+4z(2+3z)$

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

Multiply the polynomials.

$\(\left\)(x+3\(\right\))\(\left\)(x-5\(\right\))\(\left\)(-2x+1\(\right\))$

Perform the indicated operations. m(5m-2) + 9(5-m)

Find each product. Assume all variables represent positive real numbers. $-4k \(\left\)( k^{7/3} - 6k^{1/3} \(\right\))$

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. $15a^2{b}^3+12a^3{b}^8-13b^5+12b^6$

In Exercises 83–90, perform the indicated operations. Simplify the result, if possible. $\(\frac{y^{-1}\) - (y + 2)^{-1}}{2}$

Find each product. [(3a+b)-1]²

Find each product. Assume all variables represent positive real numbers. (x+x^1/2)(x-x^1/2)