Question

Factorise 1 add x add xy add x²y​

Answer 1

Answer:

(1 + x) (1 + xy)

Step-by-step explanation:

Assuming you meant "+" in place of "add";

The equation is 1 + x + xy + x²y

See if there are patterns when factorizing, and you will notice the powers of x are in a pattern 0, 1, 1, 2. This means the first bit is repeating.

This means xy can be taken out common.

1 + x + xy (1 + x)  <or>  (1 + x) + xy (1 + x)

We now see it clearly, (1 + x) can be taken common

(1 + x) (1 + xy) is the factorization, since it can't be simplified any further.