Question

Select the correct answer from the drop-down menu.

Find the missing term.
The quotient of -8x2y3 ÷ xy is same as the product of 4xy and .

Answer 1

Missing term = –2xy

Solution:

Let us first find the quotient of
`-8x^2y^3 / xy`.

`-8x^2y^3 / xy=(-8x^2y^3 )/(xy)`

`=(-8* x* x* y* y* y)/(xy)`

Taking common term xy outside in the numerator.

`=(xy(-8* x* y* y))/(xy)`

Both xy in the numerator and denominator are cancelled.

`=-8xy^2`

Thus, the quotient of
`-8x^2y^3 / xy` is
`-8xy^2`.

Given the quotient of
`-8x^2y^3 / xy` is same as the product of 4xy and ____.

`-8xy^2=4xy` × missing term

Divide both sides by 4xy, we get

⇒ missing term =
`(-8xy^2)/(4xy)`

Cancel the common terms in both numerator and denominator.

⇒ missing term = –2xy

Hence the missing term of the product is –2xy.