Solve 30ab+12b+14a,24ab-10b-18a

$$30 a b + 12 b + 14 a , 24 a b - 10 b - 18 a$$

Least Common Multiple

$$360\left(ab\right)^{2}-102ba^{2}-60b^{2}-178ab-6ab^{2}-126a^{2}$$

Solution Steps

Factor the expressions that are not already factored.

$$30ab+12b+14a=2\left(15ab+7a+6b\right) 24ab-10b-18a=2\left(12ab-9a-5b\right)$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$2\left(180a^{2}b^{2}-63a^{2}-3ab^{2}-89ab-30b^{2}-51ba^{2}\right)$$

Expand the expression.

$$360a^{2}b^{2}-126a^{2}-6ab^{2}-178ab-60b^{2}-102ba^{2}$$

Evaluate

$$30ab+14a+12b,24ab-18a-10b$$