Question

Write as a product: −y^3+xy^2−4x+4y

Answer 1

Answer:

$(x-y)\left(y^{2}-4\right) \text { is the product of }-y^{3}+x y^{2}-4 x+4 y$

Step-by-step explanation:

$\text { Given equation is }-y^{3}+x y^{2}-4 x+4 y$

$\text { Writing all }^{a} x^{\prime \prime} \text { terms and "y" terms at a place. }$

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

Now take “x” common in the first term and “y” common in second term then the equation becomes as follows:

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

$x\left(y^{2}-4\right)-y\left(y^{2}-4\right)$

$(x-y)\left(y^{2}-4\right)$

$\text { The product of the given equation is }(x-y)\left(y^{2}-4\right)$