Question

Write as a product: −y^3+xy^2−4x+4y

Answer 1

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

Explanation:

`\text { Given equation is }-y^(3)+x y^(2)-4 x+4 y`

`\text { Writing all }^(a) x^(\prime \prime) \text { terms and`

`\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)`