Question

Divide: (3x-15)/(14y) ÷ (x^2-15x+50)/7

Answer 1

\[((3x-15)\div14y)(7/((x-10)(x-5)))\]

Answer 2

extract the 3 from the 3x-15
which gives u 3(x-5)

Answer 3

\[\frac{ 3x-15 }{ 14y }\div \frac{ x^2-15x+50 }{ 7 }\]

Answer 4

now u can simplify more

Answer 5

\[\frac{ 3(x-5) }{ 14y }\times \frac{ 7 }{ x^2-15x+50 }\] I also went ahead and did the recipricle... which I chould've done to begin with

Answer 6

yup then factorize the x^2-15x+50

Answer 7

to (x-5)(x-10)

Answer 8

\[\frac{ 3(x-5) }{ 14y }\times \frac{ 7 }{ (x-5)(x-10) }\]

Answer 9

yup now cancel the x-5 and 7/14 is 1/2

Answer 10

so in the end you should get 3/(2y(x-10))

Answer 11

yea, that's what I got. Thank you!