Solve 2(C)^(2)+4CD+2(D)^(2) | 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

$$2 { C }^{ 2 } +4CD+2 { D }^{ 2 }$$

Factor

$2\left(C+D\right)^{2}$

Solution Steps

Factor out $2$.

$$2\left(C^{2}+2CD+D^{2}\right)$$

Consider $C^{2}+2CD+D^{2}$. Use the perfect square formula, $a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$, where $a=C$ and $b=D$.

$$\left(C+D\right)^{2}$$

Rewrite the complete factored expression.

$$2\left(C+D\right)^{2}$$

Evaluate

$2\left(C+D\right)^{2}$