Solve {l}{3a^2+2a^2-4B-3}{5a^2-5b}

$$\left. \begin{array} { l } { 3 a ^ { 2 } + 2 a ^ { 2 } - 4 B - 3 } \\ { 5 a ^ { 2 } - 5 b } \end{array} \right.$$

Least Common Multiple

$$5\left(5a^{2}-4B-3\right)\left(a^{2}-b\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$5a^{2}-5b=5\left(a^{2}-b\right)$$

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

$$5\left(5a^{2}-4B-3\right)\left(a^{2}-b\right)$$

Expand the expression.

$$-20Ba^{2}+20Bb+25a^{4}-15a^{2}-25ba^{2}+15b$$

Evaluate

$$5a^{2}-4B-3,\ 5\left(a^{2}-b\right)$$