Question

x^3-2xy^2-4y^3+2x^2y​

Answer 1

Answer:

Let the polynomial to be subtracted be M

According to question,

2x3−3x2y+2xy2+3y3−M=x3−2x2y+3xy2+4y3

⇒M=(2x3−3x2y+2xy2+3y3)−(x3−2x2y+3xy2+4y3)

⇒M=2x3−3x2y+2xy2+3y3−x3+2x2y−3xy2−4y3

Collecting like terms,

⇒M=2x3−x3−3x2y+2x2y+2xy2−3xy2+3y3−

Answer 2

q. x³-2xy²-4y³+2x²y

Sol= x(x²-2y²)+2y(-2y²+x²)

(x+2y)(x²-2y²)