Question

Factorise
a ) x³ + y³ +x²y+ xy²
b) x³-2x²y+3xy²-6y³

Answer 1

Step-by-step explanation:

a) x³+x²y+y³+x²y

= x²(x+y) +y²(y+x)

= (x²+y²) (x+y)

b) x³-2x²y+3xy²-6y³

= x²(x-2y) +3y²(x-2y)

= (x²+3y²) (x-2y)

Answer 2

Answer:

a) x^3 + x^2y + xy^2 + y^3

= x^2(x + y) + y^2(x + y)

= ( x^2 + y^2) ( x + y)

b) x^2(x - 2y) + 3y^2 ( x - 2y)

= (x^2+3y^2) (x - 2y)