Solve 30x^{2}y-50x^3y^2+70x^4y^3=

$$30 x ^ { 2 } y - 50 x ^ { 3 } y ^ { 2 } + 70 x ^ { 4 } y ^ { 3 } =$$

Factor

$$10yx^{2}\left(7x^{2}y^{2}-5xy+3\right)$$

Solution Steps

Factor out 10.

$$10\left(3x^{2}y-5x^{3}y^{2}+7x^{4}y^{3}\right)$$

Consider 3x^{2}y-5x^{3}y^{2}+7x^{4}y^{3}. Factor out x^{2}y.

$$x^{2}y\left(3-5xy+7x^{2}y^{2}\right)$$

Rewrite the complete factored expression.

$$10x^{2}y\left(3-5xy+7x^{2}y^{2}\right)$$

Evaluate

$$10yx^{2}\left(3+7\left(xy\right)^{2}-5xy\right)$$