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

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

Evaluate

$$8a\left(1-a\right)$$

Solution Steps

Combine 2a and 8a to get 10a.

$$10a-4a^{2}-2a-4a^{2}$$

Combine 10a and -2a to get 8a.

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

Combine -4a^{2} and -4a^{2} to get -8a^{2}.

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

Factor

$$8a\left(1-a\right)$$

Solution Steps

Factor out 2.

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

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

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

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

$$-4a+4$$

Consider -4a+4. Factor out 4.

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

Rewrite the complete factored expression.

$$8a\left(-a+1\right)$$