Question

What is the difference of the polynomials?

(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

Answer 1

$Given \: (-2x^{3}y^{2} + 4x^{2}y^{3}-3xy^{4} )- (6x^{4}y-5x^{2}y^{3}-y^{5})$

$= -2x^{3}y^{2} + 4x^{2}y^{3}-3xy^{4} - 6x^{4}y+5x^{2}y^{3}+y^{5}$

$=-6x^{4}y -2x^{3}y^{2} + 4x^{2}y^{3}+5x^{2}y^{3}-3xy^{4} + y^{5}$

$= -6x^{4}y -2x^{3}y^{2} + 9x^{2}y^{3}-3xy^{4} + y^{5}$

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