Expand
18x^{2}+24\sqrt{2}x+16
Evaluate
\left(3\sqrt{2}x+4\right)^{2}
Graph
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9\left(\sqrt{2}\right)^{2}x^{2}+24\sqrt{2}x+16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3\sqrt{2}x+4\right)^{2}.
9\times 2x^{2}+24\sqrt{2}x+16
The square of \sqrt{2} is 2.
18x^{2}+24\sqrt{2}x+16
Multiply 9 and 2 to get 18.
9\left(\sqrt{2}\right)^{2}x^{2}+24\sqrt{2}x+16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3\sqrt{2}x+4\right)^{2}.
9\times 2x^{2}+24\sqrt{2}x+16
The square of \sqrt{2} is 2.
18x^{2}+24\sqrt{2}x+16
Multiply 9 and 2 to get 18.
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