Math, asked by ZOOPCOOL, 1 year ago

what is $\frac{ x^{2} -2x}{ x^{2} -5x+6}$

Answers

Answered by jasferanderus

Here the answer is attached.

Hope it will use

Attachments:

jasferanderus: hope it is like

ZOOPCOOL: thanks a lot :)

jasferanderus: to for your comment

Answered by pinakimandal53

ANSWER WITH FULL EXPLANATION

$\frac{x^{2}-2x}{x^{2}-5x+6}$
$= \frac{x(x-2)}{x^{2}-2x-3x+6}$
$= \frac{x(x-2)}{x(x-2)-3(x-2)}$
$= \frac{x(x-2)}{(x-3)(x-2)}$
$= \frac{x}{x-3}$ [Cancelling $x-2$ from both sides. ]

Hope this may help you.

If you have any doubt, then you can ask me in the comments.

jasferanderus: when you multiply -3(x-2) =-3x+6. now the quo is came

jasferanderus: but when you multiply this -3(x+2)= -3x-6 will came now the answer is not same as quo

jasferanderus: so, only you should not do like it

ZOOPCOOL: thanks i understood :)

jasferanderus: most welcome

pinakimandal53: I hope you understood this part also.

ZOOPCOOL: yup

pinakimandal53: -3x+6 = -3 * x + -3 * (-2) = -3(x-2)

pinakimandal53: -3x+6 = -3 * x + (-3) * (-2) = -3(x-2)

pinakimandal53: I hope you got it more easily.

Previous Question

Next Question