Solve 8x^2-28xy+24y^2

$$8 x ^ { 2 } - 28 x y + 24 y ^ { 2 }$$

Factor

$$4\left(x-2y\right)\left(2x-3y\right)$$

Solution Steps

Factor out 4.

$$4\left(2x^{2}-7xy+6y^{2}\right)$$

Consider 2x^{2}-7xy+6y^{2}. Consider 2x^{2}-7xy+6y^{2} as a polynomial over variable x.

$$2x^{2}-7yx+6y^{2}$$

Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 2x^{2} and n divides the constant factor 6y^{2}. One such factor is 2x-3y. Factor the polynomial by dividing it by this factor.

$$\left(2x-3y\right)\left(x-2y\right)$$

Rewrite the complete factored expression.

$$4\left(2x-3y\right)\left(x-2y\right)$$

Evaluate

$$4\left(x-2y\right)\left(2x-3y\right)$$