Question

When 63x3y + 105x2y is divided by -7xy, the quotient is . If this quotient is divided by , the result is 3x + 5.

Answer 1

-9x^2 - 15x.

-3x.

Explanation:

The first quotient is -9x^2 - 15x.

To find the second result we divide the above by 3x + 5:

-3x

____________

3x + 5) -9x^2 - 15x

-9x^2 - 15x

-----------------

..................

The result is -3x.

Answer 2

The answers are -9x²-15x and -3x

Explanation:

First we need to find
`(63x^3y + 105x^2y)/(-7xy)`.

`(63x^3y + 105x^2y)/(-7xy)=(63x^3y)/(-7xy)+(105x^2y)/(-7xy)=-9x^2-15x`

Now we need to find value of z for which
`(-9x^2-15x)/(z)=3x+5`

`(-9x^2-15x)/(z)=3x+5\\\\z=(-9x^2-15x)/(3x+5)=(-3x(3x+5))/(3x+5)=-3x`

So the answers are -9x²-15x and -3x