Multiplying Polynomials: Special Cases - Concept

Concept Concept (1)

Solving rational equations is substantially easier with like denominators. When solving rational equations, first multiply every term in the equation by the common denominator so the equation is "cleared" of fractions. Next, use an appropriate technique for solving for the variable.

Sample Sample Problems (5)

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Multiplying Polynomials: Special Cases - Problem 1

Multiply:

(3a + 2b)²
Problem 1
How to recognize a perfect square trinomial.
Multiplying Polynomials: Special Cases - Problem 2

Multiply:

(3a − 2b)(3a + 2b)
Problem 2
How to multiply a binomial squared.
Multiplying Polynomials: Special Cases - Problem 3

Multiply:

(x − 2)³
Problem 3
How to cube a binomial.
Multiplying Polynomials: Special Cases - Problem 4
Problem 4
Examples of multiplying two binomials that results in a difference of perfect squares. This happens because our two linear terms are additive inverses.
Multiplying Polynomials: Special Cases - Problem 5
Problem 5
Examples of squared binomials and perfect square trinomials using FOIL to multiply a binomial by itself