Evaluate
x^{2}-\frac{5}{36}
Expand
x^{2}-\frac{5}{36}
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x^{2}+\frac{2}{3}x+\frac{1}{9}-\frac{1}{3}\times 2x-\frac{1}{4}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\frac{1}{3}\right)^{2}.
x^{2}+\frac{2}{3}x+\frac{1}{9}-\frac{2}{3}x-\frac{1}{4}
Multiply \frac{1}{3} and 2 to get \frac{2}{3}.
x^{2}+\frac{1}{9}-\frac{1}{4}
Combine \frac{2}{3}x and -\frac{2}{3}x to get 0.
x^{2}-\frac{5}{36}
Subtract \frac{1}{4} from \frac{1}{9} to get -\frac{5}{36}.
x^{2}+\frac{2}{3}x+\frac{1}{9}-\frac{1}{3}\times 2x-\frac{1}{4}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\frac{1}{3}\right)^{2}.
x^{2}+\frac{2}{3}x+\frac{1}{9}-\frac{2}{3}x-\frac{1}{4}
Multiply \frac{1}{3} and 2 to get \frac{2}{3}.
x^{2}+\frac{1}{9}-\frac{1}{4}
Combine \frac{2}{3}x and -\frac{2}{3}x to get 0.
x^{2}-\frac{5}{36}
Subtract \frac{1}{4} from \frac{1}{9} to get -\frac{5}{36}.
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