Solve -5ab+7a^2-3ab-a^2+12ab

$$- 5 a b + 7 a ^ { 2 } - 3 a b - a ^ { 2 } + 12 a b$$

Evaluate

$$2a\left(3a+2b\right)$$

Solution Steps

Combine -5ab and -3ab to get -8ab.

$$-8ab+7a^{2}-a^{2}+12ab$$

Combine 7a^{2} and -a^{2} to get 6a^{2}.

$$-8ab+6a^{2}+12ab$$

Combine -8ab and 12ab to get 4ab.

$$4ab+6a^{2}$$

Factor

$$2a\left(3a+2b\right)$$

Solution Steps

Factor out a.

$$a\left(-5b+7a-3b-a+12b\right)$$

Consider -5b+7a-3b-a+12b. Multiply and combine like terms.

$$6a+4b$$

Consider 6a+4b. Factor out 2.

$$2\left(3a+2b\right)$$

Rewrite the complete factored expression.

$$2a\left(3a+2b\right)$$