Solve {c}{p^2+4p+3}{25y^2-4}

$$\left. \begin{array} { c } { p ^ { 2 } + 4 p + 3 } \\ { 25 y ^ { 2 } - 4 } \end{array} \right.$$

Least Common Multiple

$$\left(p+1\right)\left(p+3\right)\left(25y^{2}-4\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$3+4p+p^{2}=\left(p+1\right)\left(p+3\right) 25y^{2}-4=\left(5y-2\right)\left(5y+2\right)$$

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

$$\left(5y-2\right)\left(p+1\right)\left(p+3\right)\left(5y+2\right)$$

Expand the expression.

$$25p^{2}y^{2}+100py^{2}+75y^{2}-4p^{2}-16p-12$$

Evaluate

$$\left(p+1\right)\left(p+3\right),\ 25y^{2}-4$$