Simplifying Rational Expressions
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
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.
Polynomials, Monomials, Binomials, Trinomials
Three types of polynomials are defined: monomials, binomials, and trinomials.
Squaring Binomials
MM_ALG_04K_011
FOIL Method for Multiplying Binomials
Using the FOIL method to multiply two binomials. FOIL suggests the order, by position, in which terms should be multiplied: first, outer, inner, last.
Factor 14n 35p
Demonstration of factoring a polynomial with no like terms: 14n 35p,
Factor 10b2c4d - 6b3c4d2
Practice factoring: 10b2c4d - 6b3c4d2
Factor 7x2y2 4xy2 - 8x2y
Practice factoring: 7x2y2 4xy2 - 8x2y
Factor 72m3n2p5 - 48mn5p3
Practice factoring: 72m3n2p5 - 48mn5p3
Factor 27x10y3z15 - 9x9y3x9
Practice factoring: 27x10y3z15 - 9x9y3z9