Solve y^2+2y+1,quady^2-1,quad3y+3

$$y ^ { 2 } + 2 y + 1 , \quad y ^ { 2 } - 1 , \quad 3 y + 3$$

Least Common Multiple

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

Solution Steps

Factor the expressions that are not already factored.

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

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

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

Expand the expression.

$$3y^{3}+3y^{2}-3y-3$$

Evaluate

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