Question

Factorise fully 18e^2f^3-12e^2f

Answer 1

Answer:

$18e^2f^3-12e^2f = 6e^2f(3f^2-2)$

Step-by-step explanation:

Given

$18e^2f^3-12e^2f$

Required

Factorize:

$18e^2f^3-12e^2f$

Express 18 as 6 * 3 and 12 as 6 * 2

$18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f$

Factor out 6

$18e^2f^3-12e^2f = 6(3e^2f^3-2e^2f)$

Factor out $e^2$

$18e^2f^3-12e^2f = 6e^2(3f^3-2f)$

Factor out f

$18e^2f^3-12e^2f = 6e^2f(3f^2-2)$