Solve x^42x^2y^2+2/7y^4-5/6{x}^{4}+3/8{x}^{2}{y}^{2}-1/6x{y}^{2}-frac{1}{4}{y}^{4}-frac{5}{6}{x}^3y-frac{1}{4}{x}^2{y}^2+frac{1}{7}{y}^4

$${ x }^{ 4 } 2 { x }^{ 2 } { y }^{ 2 } + \frac{ 2 }{ 7 } { y }^{ 4 } - \frac{ 5 }{ 6 } { x }^{ 4 } + \frac{ 3 }{ 8 } { x }^{ 2 } { y }^{ 2 } - \frac{ 1 }{ 6 } x { y }^{ 2 } - \frac{ 1 }{ 4 } { y }^{ 4 } - \frac{ 5 }{ 6 } { x }^{ 3 } y- \frac{ 1 }{ 4 } { x }^{ 2 } { y }^{ 2 } + \frac{ 1 }{ 7 } { y }^{ 4 }$$

Factor

$$\frac{336y^{2}x^{6}-140x^{4}+21x^{2}y^{2}+30y^{4}-140yx^{3}-28xy^{2}}{168}$$

Solution Steps

Factor out \frac{1}{168}.

$$\frac{336x^{4}x^{2}y^{2}+48y^{4}-140x^{4}+63x^{2}y^{2}-28xy^{2}-42y^{4}-140x^{3}y-42x^{2}y^{2}+24y^{4}}{168}$$

Evaluate

$$2y^{2}x^{6}+\frac{\left(xy\right)^{2}}{8}-\frac{5yx^{3}}{6}-\frac{xy^{2}}{6}+\frac{5y^{4}}{28}-\frac{5x^{4}}{6}$$