Evaluate
\left(5x+3\sqrt{2}\right)^{2}
Expand
25x^{2}+30\sqrt{2}x+18
Graph
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9\left(\sqrt{2}\right)^{2}+30\sqrt{2}x+25x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(-3\sqrt{2}-5x\right)^{2}.
9\times 2+30\sqrt{2}x+25x^{2}
The square of \sqrt{2} is 2.
18+30\sqrt{2}x+25x^{2}
Multiply 9 and 2 to get 18.
9\left(\sqrt{2}\right)^{2}+30\sqrt{2}x+25x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(-3\sqrt{2}-5x\right)^{2}.
9\times 2+30\sqrt{2}x+25x^{2}
The square of \sqrt{2} is 2.
18+30\sqrt{2}x+25x^{2}
Multiply 9 and 2 to get 18.
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