Solve (z^{4}+3z^{2}y^2-4y^4)div(z^2-y^2)

$$( z ^ { 4 } + 3 z ^ { 2 } y ^ { 2 } - 4 y ^ { 4 } ) \div ( z ^ { 2 } - y ^ { 2 } )$$

Evaluate

$$4y^{2}+z^{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(y+z\right)\left(-y+z\right)\left(4y^{2}+z^{2}\right)}{\left(y+z\right)\left(-y+z\right)}$$

Cancel out \left(y+z\right)\left(-y+z\right) in both numerator and denominator.

$$4y^{2}+z^{2}$$

Expand

$$4y^{2}+z^{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(y+z\right)\left(-y+z\right)\left(4y^{2}+z^{2}\right)}{\left(y+z\right)\left(-y+z\right)}$$

Cancel out \left(y+z\right)\left(-y+z\right) in both numerator and denominator.

$$4y^{2}+z^{2}$$