Evaluate
\frac{\left(4x-3\right)^{2}-57}{8}
Expand
2x^{2}-3x-6
Graph
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2\left(x^{2}-\frac{3}{2}x+\frac{9}{16}\right)-\frac{57}{8}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{3}{4}\right)^{2}.
2x^{2}-3x+\frac{9}{8}-\frac{57}{8}
Use the distributive property to multiply 2 by x^{2}-\frac{3}{2}x+\frac{9}{16}.
2x^{2}-3x-6
Subtract \frac{57}{8} from \frac{9}{8} to get -6.
2\left(x^{2}-\frac{3}{2}x+\frac{9}{16}\right)-\frac{57}{8}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{3}{4}\right)^{2}.
2x^{2}-3x+\frac{9}{8}-\frac{57}{8}
Use the distributive property to multiply 2 by x^{2}-\frac{3}{2}x+\frac{9}{16}.
2x^{2}-3x-6
Subtract \frac{57}{8} from \frac{9}{8} to get -6.
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