Solve 2n(2n + 1)(2n + 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

$$2n(2n+1)(2n+1)$$

Evaluate

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

Solution Steps

Multiply $2n+1$ and $2n+1$ to get $\left(2n+1\right)^{2}$.

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

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

$$2n\left(4n^{2}+4n+1\right)$$

Use the distributive property to multiply $2n$ by $4n^{2}+4n+1$.

$$8n^{3}+8n^{2}+2n$$

Expand

$8n^{3}+8n^{2}+2n$

Solution Steps

Multiply $2n+1$ and $2n+1$ to get $\left(2n+1\right)^{2}$.

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

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

$$2n\left(4n^{2}+4n+1\right)$$

Use the distributive property to multiply $2n$ by $4n^{2}+4n+1$.

$$8n^{3}+8n^{2}+2n$$