What is the simplified form of the polynomial expression shown? -3x^(2)(x-y^(2))-(y^(3)-5)-3y^(2)(x^(2)-4y)+4x^(3)

Simplify and Combine Terms: Simplify the expression by distributing and combining like terms. -3x^2(x - y^2) - (y^3 - 5) - 3y^2(x^2 - 4y) + 4x^3 = -3x^3 + 3x^2y^2 - y^3 + 5 - 3y^2x^2 + 12y^3 + 4x^3Combine Like Terms: Combine like terms. = (-3x^3 + 4x^3) + (3x^2y^2 - 3y^2x^2) + (-y^3 + 12y^3) + 5 = x^3 + 11y^3 + 5

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What is the simplified form of the polynomial expression shown? $\newline$ $-3x^{2}(x-y^{2})-(y^{3}-5)-3y^{2}(x^{2}-4y)+4x^{3}$ $\newline$

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Q. What is the simplified form of the polynomial expression shown?

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-3x^{2}(x-y^{2})-(y^{3}-5)-3y^{2}(x^{2}-4y)+4x^{3}

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Simplify and Combine Terms: Simplify the expression by distributing and combining like terms. $\newline$ $-3x^2(x - y^2) - (y^3 - 5) - 3y^2(x^2 - 4y) + 4x^3 = -3x^3 + 3x^2y^2 - y^3 + 5 - 3y^2x^2 + 12y^3 + 4x^3$
Combine Like Terms: Combine like terms. $\newline$ $= (-3x^3 + 4x^3) + (3x^2y^2 - 3y^2x^2) + (-y^3 + 12y^3) + 5$ $\newline$ $= x^3 + 11y^3 + 5$