Question

Please help I will fan and give medal:

Answer 1

Divide: \[\frac{ x^{2}+11x+30 }{ x^2{-25} } \div \frac{ x+6 }{ x-6 }\]

Answer 2

\[x^2 + 11x + 30 = (x + 5)(x + 6)\]
\[x^2 - 25 = x^2 - 5^2 = (x + 5) (x - 5)\]

Answer 3

so now it is
\[\frac{ (x + 5)(x + 6) }{ (x + 5)(x - 5) } \div \frac{ (x + 6) }{ (x - 6) }\]

Answer 4

oh wow

Answer 5

ok so now i cancel out and get \[\frac{ (x+6) }{ (x-5) }\div \frac{ (x+6) }{ (x-6) }\]

Answer 6

@rishavraj ^^^^

Answer 7

yup.. u know
\[\frac{ a }{ b } \div \frac{ c }{ d } = \frac{ ad }{ bc } \]

Answer 8

oh cross multiply

Answer 9

hmmmmm

Answer 10

so my final answer after canceling out would be: \[\frac{ (x-5) }{ (x-6) } ?\]

Answer 11

\[\frac{ (x - 6) }{ (x - 5) }\]

Answer 12

how?

Answer 13

\[\frac{ (x + 6) }{ (x - 5) } \div \frac{ (x + 6) }{ (x - 6) }\]
= \[\frac{ (x + 6)(x - 6) }{ (x - 5)(x + 6) }\]

Answer 14

ok so my final answer would be (x-6)/(x-5) ?

Answer 15

@rishavraj final answer: \[\frac{ (x-6) }{ (x-5) }\]

Answer 16

if u r supposed to simplify it then YES

Answer 17

Thanks so much

Answer 18

yw:PP