Evaluate
\frac{13x^{2}}{4}-10x+8
Expand
\frac{13x^{2}}{4}-10x+8
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4-4x+x^{2}+\left(2-1.5x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\right)^{2}.
4-4x+x^{2}+4-6x+2.25x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-1.5x\right)^{2}.
8-4x+x^{2}-6x+2.25x^{2}
Add 4 and 4 to get 8.
8-10x+x^{2}+2.25x^{2}
Combine -4x and -6x to get -10x.
8-10x+3.25x^{2}
Combine x^{2} and 2.25x^{2} to get 3.25x^{2}.
4-4x+x^{2}+\left(2-1.5x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\right)^{2}.
4-4x+x^{2}+4-6x+2.25x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-1.5x\right)^{2}.
8-4x+x^{2}-6x+2.25x^{2}
Add 4 and 4 to get 8.
8-10x+x^{2}+2.25x^{2}
Combine -4x and -6x to get -10x.
8-10x+3.25x^{2}
Combine x^{2} and 2.25x^{2} to get 3.25x^{2}.
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