Evaluate
\left(x+a+1\right)\left(2x+2a+1\right)
Expand
2x^{2}+4ax+3x+2a^{2}+3a+1
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2\left(x^{2}+2xa+a^{2}\right)+3\left(x+a\right)+1
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(x+a\right)^{2}.
2x^{2}+4xa+2a^{2}+3\left(x+a\right)+1
Use the distributive property to multiply 2 by x^{2}+2xa+a^{2}.
2x^{2}+4xa+2a^{2}+3x+3a+1
Use the distributive property to multiply 3 by x+a.
2\left(x^{2}+2xa+a^{2}\right)+3\left(x+a\right)+1
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(x+a\right)^{2}.
2x^{2}+4xa+2a^{2}+3\left(x+a\right)+1
Use the distributive property to multiply 2 by x^{2}+2xa+a^{2}.
2x^{2}+4xa+2a^{2}+3x+3a+1
Use the distributive property to multiply 3 by x+a.
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