Question

Simplify:

(−12x^3y^4 + 6x^2y^2) ÷ 6x^2y^2

Answer 1

\(\large \frac{−12x^3y^4 + 6x^2y^2}{6x^2y^2}\)

Answer 2

start by factoring the GCF from numerator

Answer 3

and see if something cancels away wid the denominator

Answer 4

I thought I could cancel out both 6x^2y^2

Answer 5

yes !!

Answer 6

\(\large \frac{−12x^3y^4 + 6x^2y^2}{6x^2y^2}\)


factor out 6x^2y^2 in numerator


\(\large \frac{6x^2y^2(−2xy^2 + 1)}{6x^2y^2}\)

Answer 7

now u can cancel out

Answer 8

that gives u

\(\large -2xy^2 + 1\)

Answer 9

So why did the 12x^2y^4 turn into -2xy^2 + 1 ?

Answer 10

Anyway thank you :)

Answer 11

good question :)

Answer 12

\(\large \frac{−12x^3y^4 + 6x^2y^2}{6x^2y^2}\)

Answer 13

before cenceling, u need to take GCF of numerator

Answer 14

u cannot cancel the second term and denominator directly okay ?

Answer 15

GCF of numerator is \(6x^2y^2\)

Answer 16

when u pull it from numerator's first term, \(-12x^3y^4\),
it leaves \(-2xy^2\)

Answer 17

\(\large -12x^3y^4 = 6x^2y^2(-2xy^2)\)

Answer 18

ooooh I got it, I forgot about that.

Answer 19

Thanks again.

Answer 20

good to hear :) u wlc :)