Question

factorise x (x3-y3) + 3xy (x-y)​

Answer 1

Answer:

the answer is given below for the given problem

Answer 2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

factorise $x (x^3-y^3) + 3xy (x-y)$

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Solution}}}}}}}}$

$\sf\implies x (x^3-y^3) + 3xy (x-y)$

${\bold{\blue{\boxed{\bf{x^3 - y^3 = (x-y)(x^2 + xy + y^2)}}}}}$

$\sf\implies x (x-y)(x^2 + xy + y^2)+3xy(x-y)$

• taking common

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

$\sf\implies x (x-y){(x^2 + y^2+2xy+2xy)}$

${\bold{\blue{\boxed{\bf{x^2 + y^2 + 2xy = (x+y)^2}}}}}$

$\sf\implies x (x-y){(x+y)^2+2xy}$

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