Solve 4a^2-y^2-2a-y

$$4 a ^ { 2 } - y ^ { 2 } - 2 a - y$$

Factor

$$\left(-y+2a-1\right)\left(y+2a\right)$$

Solution Steps

Consider 4a^{2}-y^{2}-2a-y as a polynomial over variable a.

$$4a^{2}-2a-y^{2}-y$$

Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 4a^{2} and n divides the constant factor -y^{2}-y. One such factor is y+2a. Factor the polynomial by dividing it by this factor.

$$\left(y+2a\right)\left(-y+2a-1\right)$$

Evaluate

$$\left(-y+2a-1\right)\left(y+2a\right)$$