Question

subtract -4 x ^ 2 y - y ^ 3 from X ^ 3 + 3 x y ^ 2 - x ^ 2 y​

Answer 1

Answer:

$\green { x^{3} + 3xy^{2} + 3x^{2} y + y^{3}}$

Step-by-step explanation:

$Let \: A = -4x^{2} y - y^{3} ,\\and \: B = x^{3}+3xy^{2} - x^{2} y$

/* According to the problem given

$B - A = (x^{3}+3xy^{2} - x^{2} y) - (-4x^{2} y - y^{3})$

$= x^{3}+3xy^{2} - x^{2} y + 4x^{2} y + y^{3}$

$= x^{3} + 3xy^{2} + ( -1 + 4 ) x^{2} y + y^{3}$

$= x^{3} + 3xy^{2} + 3x^{2} y + y^{3}$

Therefore.,

$\green { x^{3} + 3xy^{2} + 3x^{2} y + y^{3}}$

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