Question

X^2-8x+16 divided by ax-4x numerator

/3x^2 y denomenator /6xy^2

Answer 1

Given:

1).
`x^2-8x+16` divided by
`x-4`

⇒
`(x^2-8x+16)/(x-4)`

⇒
`(x^2-2* x* 4+4^2)/(x-4)`

By factorising numerator by using identity,
`(a-b)^2=a^2-2* a * b +b^2`

⇒
`((x-4)^2)/(x-4)`

⇒
`((x-4)*(x-4))/(x-4)`

⇒
`x-4` {Answer}

2).
`3x^2y` divided by
`6xy^2`

⇒
`(3x^2y)/(6xy^2)`

⇒
`(3* x* x* y)/(6* x* y* y)`

⇒
`(x)/(2y)` { Answer}