0. Review of Algebra

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

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

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

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. 6x+3x⁴

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. (3/8)x⁵-(1/x²)+9

Multiply the polynomials using special product formulas.

$\(\left\)(2x+4\(\right\))^3$

Find each product. [(2p-3)+q]²

Find each product. Assume all variables represent positive real numbers. $y^{5/8} \(\left\)( y^{3/8} - 10y^{11/8} \(\right\))$