Solve a^2-2a^2+ab-2ab-3ab+2a-4a+3a

$$a ^ { 2 } - 2 a ^ { 2 } + a b - 2 a b - 3 a b + 2 a - 4 a + 3 a$$

Evaluate

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

Solution Steps

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

$$-a^{2}+ab-2ab-3ab+2a-4a+3a$$

Combine ab and -2ab to get -ab.

$$-a^{2}-ab-3ab+2a-4a+3a$$

Combine -ab and -3ab to get -4ab.

$$-a^{2}-4ab+2a-4a+3a$$

Combine 2a and -4a to get -2a.

$$-a^{2}-4ab-2a+3a$$

Combine -2a and 3a to get a.

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

Factor

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

Solution Steps

Factor out a.

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

Consider a-2a+b-2b-3b+2-4+3. Multiply and combine like terms.

$$-a-4b+1$$

Rewrite the complete factored expression.

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