Simplifying rational expressions is like reducing rational numbers. First fully factor the numerator and denominator and then cancel all the common factors. The process is illustrated step by step.
Rational expressions that equal -1 are recognizable: the terms in the numerator are identical to the terms in the denominator except for their signs, which are opposite.
Three types of polynomials are defined: monomials, binomials, and trinomials.
MM_ALG_04K_011
Using the FOIL method to multiply two binomials. FOIL suggests the order, by position, in which terms should be multiplied: first, outer, inner, last.
Demonstration of factoring a polynomial with no like terms: 14n 35p,
Practice factoring: 10b2c4d - 6b3c4d2
Practice factoring: 7x2y2 4xy2 - 8x2y
Practice factoring: 72m3n2p5 - 48mn5p3
Practice factoring: 27x10y3z15 - 9x9y3z9