Solve 4a-16a^2+8a^2

$$4 a - 16 a ^ { 2 } + 8 a ^ { 2 }$$

Factor

$$4a\left(1-2a\right)$$

Solution Steps

Factor out 4.

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

Consider a-4a^{2}+2a^{2}. Factor out a.

$$a\left(1-4a+2a\right)$$

Consider 1-4a+2a. Multiply and combine like terms.

$$-2a+1$$

Rewrite the complete factored expression.

$$4a\left(-2a+1\right)$$

Evaluate

$$4a\left(1-2a\right)$$

Solution Steps

Combine -16a^{2} and 8a^{2} to get -8a^{2}.

$$4a-8a^{2}$$