Factorise x2 + xy (1 + y) + y3

(i) x2 + xy (1 + y) + y3

(ii) y2 – xy (1 – x) – x3

Answer :

(i) x2 + xy (1 + y) + y3

Above question can be written as,

x2 + xy + xy2 + y3

Take out common in all terms,

x(x + y) + y2(x + y)

(x + y) (x + y2)

(ii) y2 – xy (1 – x) – x3

y2 – xy (1 – x) – x3

Above question can be written as,

y2 – xy + x2y – x3

Take out common in all terms,

y(y – x) + x2 (y – x)

(y – x) (y + x2)

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