Solve (m+1)(m-1)(m-1)

$$( m + 1 ) ( m - 1 ) ( m - 1 )$$

Evaluate

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

Solution Steps

Multiply m-1 and m-1 to get \left(m-1\right)^{2}.

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

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(m-1\right)^{2}.

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

Apply the distributive property by multiplying each term of m+1 by each term of m^{2}-2m+1.

$$m^{3}-2m^{2}+m+m^{2}-2m+1$$

Combine -2m^{2} and m^{2} to get -m^{2}.

$$m^{3}-m^{2}+m-2m+1$$

Combine m and -2m to get -m.

$$m^{3}-m^{2}-m+1$$

Expand

$$m^{3}-m^{2}-m+1$$

Solution Steps

Multiply m-1 and m-1 to get \left(m-1\right)^{2}.

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

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(m-1\right)^{2}.

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

Apply the distributive property by multiplying each term of m+1 by each term of m^{2}-2m+1.

$$m^{3}-2m^{2}+m+m^{2}-2m+1$$

Combine -2m^{2} and m^{2} to get -m^{2}.

$$m^{3}-m^{2}+m-2m+1$$

Combine m and -2m to get -m.

$$m^{3}-m^{2}-m+1$$