25x³-36x
step1, common factor
= x(25x^2 - 36)
step2, recognize the difference of squares
= x(5x-6)(5x+6)
Factor the following polynomials.
1. 25x³-36x
2 answers
Sol:
Given
25x^3-36x
Factor out the common term x
=x(25x^2-36)
=x[(5x)^2-(6)^2]
We know that
a^2-b^2=(a+b)(a-b)
so,now
=x(5x+6)(5x-6)
Final answer:
=x(5x+6)(5x-6)
Given
25x^3-36x
Factor out the common term x
=x(25x^2-36)
=x[(5x)^2-(6)^2]
We know that
a^2-b^2=(a+b)(a-b)
so,now
=x(5x+6)(5x-6)
Final answer:
=x(5x+6)(5x-6)