Thread: Simplifying problem

In the equation

f(x) = -3( (2-3x^2)^-1/2 + 3x^2(2-3x^2)^-3/2)

my text book jumps to the simplification

f(x) = -6(2-3x^2)^-3/2)

Could someone please explain this simplification?

Hello Hefotos

Originally Posted by Hefotos

In the equation

f(x) = -3( (2-3x^2)^-1/2 + 3x^2(2-3x^2)^-3/2)

my text book jumps to the simplification

f(x) = -6(2-3x^2)^-3/2)

Could someone please explain this simplification?

Note first that:

So we can take out as a common factor:

Grandad

Very well explained, thankyou