POLQ 2 | Lesson 1 | Watch (Special Factoring Patterns)

Besides the difference of two squares, there are three other factoring patterns, that when recognized, can make your factoring of expressions much easier. They are:

a) perfect square trinomials \((ax + b)^2 = a^2x^2 \pm 2axb + b^2\)

b) difference of cubes \(a^3 – b^3= (a-b)(a^2 + ab + b^2)\)

c) sum of cubes \(a^3 + b^3 = (a + b)(a^2 – ab + b^2)\)

Here are some videos that can help you recognize and use these factoring patterns:

Difference of squares: Difference of squares intro | Khan Academy

Factoring perfect square trinomials: Perfect square factorization intro | Khan Academy

Difference of cubes: Factoring difference of cubes | Khan Academy

Sum of cubes: Factoring sum of cubes | Khan Academy


 


 

Go to Practice (Identifying Special Factoring Patterns)