Evaluate
4x^{2}-4x+\frac{8}{9}
Expand
4x^{2}-4x+\frac{8}{9}
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1-4x+4x^{2}-\frac{1}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-2x\right)^{2}.
\frac{8}{9}-4x+4x^{2}
Subtract \frac{1}{9} from 1 to get \frac{8}{9}.
1-4x+4x^{2}-\frac{1}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-2x\right)^{2}.
\frac{8}{9}-4x+4x^{2}
Subtract \frac{1}{9} from 1 to get \frac{8}{9}.
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