Solve 32x^3ya-32x^3y-48xy^3a+48xy^2

$$32 x ^ { 3 } y a - 32 x ^ { 3 } y - 48 x y ^ { 3 } a + 48 x y ^ { 2 }$$

Factor

$$16xy\left(2ax^{2}-2x^{2}-3ay^{2}+3y\right)$$

Solution Steps

Factor out 16.

$$16\left(2x^{3}ya-2x^{3}y-3xy^{3}a+3xy^{2}\right)$$

Consider 2x^{3}ya-2x^{3}y-3xy^{3}a+3xy^{2}. Factor out xy.

$$xy\left(2x^{2}a-2x^{2}-3y^{2}a+3y\right)$$

Rewrite the complete factored expression.

$$16xy\left(2x^{2}a-2x^{2}-3y^{2}a+3y\right)$$

Evaluate

$$16xy\left(2ax^{2}-2x^{2}-3ay^{2}+3y\right)$$