Calculate: 16x^3y+8x^2y^2-32x^3y^2-48x^2y^4

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  3. Calculate: 16x^3y+8x^2y^2-32x^3y^2-48x^2y^4

Expression: $16x^{3}y+8x^{2}y^{2}-32x^{3}y^{2}-48x^{2}y^{4}$

Factor out common term $8x^{2}y:{\quad}8x^{2}y(2x+y-4xy-6y^{3})$

$=8x^{2}y(2x+y-4xy-6y^{3})$

Factor $2x+y-4xy-6y^{3}:{\quad}-(2x(2y-1)+y(6y^{2}-1))$

$=-8x^{2}y(2x(2y-1)+y(6y^{2}-1))$

Expand $2x(2y-1)+y(6y^{2}-1):{\quad}4xy-2x+6y^{3}-y$

$=-8x^{2}y(4xy-2x+6y^{3}-y)$

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