Concept (1)

Multiplying rational expressions is basically two simplifying problems put together. When multiplying rationals, factor both numerators and denominators and identify equivalents of one to cancel. Dividing rational expressions is the same as multiplying with one additional step: we take the reciprocal of the second fraction and change the division to multiplication.

Sample Problems (6)

Need help with "Multiplying Monomials and/or Binomials and FOIL" problems? Watch expert teachers solve similar problems to develop your skills.

Multiply:

a) (3x²)(5x⁴)
b) (⅓x²y)(12xy²)
c) 5x(3x² − 2y − 4)
Problem 1
How to multiply monomials with other polynomials.

Multiply:

(3x + 1)(x + 4)
Problem 2
How to FOIL to multiply binomials using addition.
Problem 3
To multiply with monomials, we need to multiply the coefficients and add the exponents
Problem 4
A common acronym for multiplying two binomials is FOIL, which stands for First, Outside, Inside, Last
Problem 5
An introduction to multiplying binomials through using the distributive property twice, and discussion of "like terms"
Problem 6
An area, or geometric model for multiplying polynomials is explored through a "rectangle" or "box" method of organizing terms.