Solve {l}{(6+8)(b-5)}{(5z+4)(5z-4)}

$$\left. \begin{array} { l } { ( 6 + 8 ) ( b - 5 ) } \\ { ( 5 z + 4 ) ( 5 z - 4 ) } \end{array} \right.$$

Least Common Multiple

$$14\left(b-5\right)\left(25z^{2}-16\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$14b-70=14\left(b-5\right) 25z^{2}-16=\left(5z-4\right)\left(5z+4\right)$$

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

$$14\left(b-5\right)\left(5z-4\right)\left(5z+4\right)$$

Expand the expression.

$$350bz^{2}-1750z^{2}-224b+1120$$

Evaluate

$$14\left(b-5\right),\ 25z^{2}-16$$