Solve =(a+1)^ 2 -2(a+1)+1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$=(a+1)^{2}-2(a+1)+1$$

Evaluate

$a^{2}$

Solution Steps

Use binomial theorem $\left(p+q\right)^{2}=p^{2}+2pq+q^{2}$ to expand $\left(a+1\right)^{2}$.

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

Use the distributive property to multiply $-2$ by $a+1$.

$$a^{2}+2a+1-2a-2+1$$

Combine $2a$ and $-2a$ to get $0$.

$$a^{2}+1-2+1$$

Subtract $2$ from $1$ to get $-1$.

$$a^{2}-1+1$$

Add $-1$ and $1$ to get $0$.

$$a^{2}$$

Expand

$a^{2}$

Solution Steps

Use binomial theorem $\left(p+q\right)^{2}=p^{2}+2pq+q^{2}$ to expand $\left(a+1\right)^{2}$.

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

Use the distributive property to multiply $-2$ by $a+1$.

$$a^{2}+2a+1-2a-2+1$$

Combine $2a$ and $-2a$ to get $0$.

$$a^{2}+1-2+1$$

Subtract $2$ from $1$ to get $-1$.

$$a^{2}-1+1$$

Add $-1$ and $1$ to get $0$.

$$a^{2}$$