Question

factorise:xy²+(x-1)y-1​

Answer 1

Answer:

(y + 1)(xy - 1)

Step-by-step explanation:

Given Equation:

$xy^{2} + (x - 1)y - 1$

In the middle term, i.e., (x - 1)y, you can multiply y and (x - 1) by opening the brackets.

After opening the brackets, we get:

$xy^{2} + xy - y - 1$

Take out 1 common factor from the first 2 terms, then do the same thing for the 3rd and the 4th term.

We will now get

xy(y + 1) - 1(y + 1)

After taking out (y + 1) common, we will get the final answer.

(y + 1)(xy - 1)