# Math Help - Product Rule - Simplifying

1. ## Product Rule - Simplifying

i dont get how this

(2x-3)^4 (3) + 3x (4) (2x-3)^3 (2)

is simplified to this

3(2x-3)^3 (2x-3+8x)

thanks

2. Originally Posted by Fibonacci
i dont get how this

$(2x-3)^4 (3) + 3x (4) (2x-3)^3 (2)$

is simplified to this

$3(2x-3)^3 (2x-3+8x)$

thanks
$3.(2x-3)^4+3.(2x-3)^3(4)(2)(x)$

$3.(2x-3)^4+3.(2x-3)^3(8x)$

Take $3.(2x-3)^3$ as a common factor,

$3(2x-3)^3[(2x-3)+8x] = 3(2x-3)^3 (2x-3+8x)$

3. Originally Posted by rednest
$3.(2x-3)^4+3.(2x-3)^4(4)(2)(x)$

$3.(2x-3)^4+3.(2x-3)^4(8x)$

Take $3.(2x-3)^3$ as a common factor,

$3(2x-3)^3[(2x-3)+8x] = 3(2x-3)^3 (2x-3+8x)$
Just a case of a typo: Note that the first and second lines have the exponent of (2x - 3) as 4 in the second term. This exponent should be 3.

-Dan