Factories: y 2 – xy(1 – x) – x 3

Question

Factories: y 2 &#x2013; xy(1 &#x2013; x) &#x2013; x 3

Philoid · Accepted Answer

y² – xy(1 – x) – x³

= y² – xy + x²y – x³

= (y² – xy) + (x²y – x³)

= y(y – x) + x²(y – x)

= (y –x)(y + x²)

So we get,

y² – xy(1 – x) – x³ = (y –x)(y + x²)

Factories:y2 – xy(1 – x) – x3