Question

Factorise :
${y}^{2} - xy(1 - x) - {x}^{3}$
Please answer I will mark as brainliest​

Answer 1

Answer:

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

Step-by-step explanation:

$y^{2} - xy(1 - x) - x^3$

First we nee to remove the brackets. After the simplification we will get:-

$y^{2} - xy + x^{2}y + x^{3}$

Now time for grouping them:-

$(y^{2} - xy) + (x^{2}y - x^{3})$

You can apply associative property (twice):-

$y(y - x) + x^2(y - x)$

Now take (y - x) in common an you will get

$(y-x)(y + x^2)$ <= Answer