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Mathematics 9 Online
OpenStudy (ray_sihota):

Hello I need help factoring the top part of this equation. x^2-4x^2

OpenStudy (ray_sihota):

OpenStudy (ray_sihota):

Qustion 3 . I can get the bottom factors.

OpenStudy (ray_sihota):

I am also having issue with this Qustion 7 as well.

ganeshie8 (ganeshie8):

lets work Question 3 first

ganeshie8 (ganeshie8):

Question3 : \[\large \dfrac{x^3-4x^2}{x^3-x^2-12x}\]

ganeshie8 (ganeshie8):

start by factoring out the GCF in both numerator and denominator

ganeshie8 (ganeshie8):

whats the GCF of numerator ?

OpenStudy (ray_sihota):

up top greatest common factor would be x, on the bottom the factors would be (x-4)(x+3)

ganeshie8 (ganeshie8):

\[\large \dfrac{x^3-4x^2}{x^3-x^2-12x}\] \[\large \dfrac{x^2(x-4)}{x(x^2-x-12)}\] \[\large \dfrac{x(x-4)}{(x-4)(x+3)}\]

ganeshie8 (ganeshie8):

(x-4) cancels out in top and bottom giving you : \[\large \dfrac{x}{x+3}\]

ganeshie8 (ganeshie8):

see if that makes more or less sense

OpenStudy (ray_sihota):

it makes perfect sense thank you so much

ganeshie8 (ganeshie8):

glad to hear :) yw !

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