Solve Add-2ab+3b,6a-9ab,7b-2a

$$A d d - 2 a b + 3 b , 6 a - 9 a b , 7 b - 2 a$$

Least Common Multiple

$$3a\left(3b-2\right)\left(2a-7b\right)\left(Ad^{2}-2ab+3b\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$6a-9ab=3a\left(-3b+2\right)$$

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

$$3a\left(3b-2\right)\left(2a-7b\right)\left(Ad^{2}-2ab+3b\right)$$

Expand the expression.

$$-12Aa^{2}d^{2}-63Aab^{2}d^{2}+42Aabd^{2}+18Aba^{2}d^{2}+126a^{2}b^{3}-30a^{2}b^{2}-189ab^{3}+126ab^{2}-36b^{2}a^{3}+24ba^{3}-36ba^{2}$$

Evaluate

$$Ad^{2}-2ab+3b,6a-9ab,7b-2a$$