Solve w^2-5wy-50y^2

$$w ^ { 2 } - 5 w y - 50 y ^ { 2 }$$

Factor

$$\left(w-10y\right)\left(5y+w\right)$$

Solution Steps

Consider w^{2}-5wy-50y^{2} as a polynomial over variable w.

$$w^{2}-5yw-50y^{2}$$

Find one factor of the form w^{k}+m, where w^{k} divides the monomial with the highest power w^{2} and m divides the constant factor -50y^{2}. One such factor is -10y+w. Factor the polynomial by dividing it by this factor.

$$\left(-10y+w\right)\left(5y+w\right)$$

Evaluate

$$\left(w-10y\right)\left(5y+w\right)$$