Factorise the following: y 2 - xy(1 - x) - x 3

y 2 - xy(1 - x) - x 3 = y 2 - xy + x 2 y - x 3 = y(y - x) + x 2 (y - x) = (y - x)(y + x 2 ). Hence, y 2 - xy(1 - x) - x 3 = (y - x)(y + x 2 ).

Mathematics

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y² - xy(1 - x) - x³

= y² - xy + x²y - x³

= y(y - x) + x²(y - x)

= (y - x)(y + x²).

Hence, y² - xy(1 - x) - x³ = (y - x)(y + x²).

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