Evaluate
\left(2x-3\right)\left(1-x\right)^{2}
Expand
2x^{3}-7x^{2}+8x-3
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\left(1-2x+x^{2}\right)\left(2x-3\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-x\right)^{2}.
8x-3-7x^{2}+2x^{3}
Use the distributive property to multiply 1-2x+x^{2} by 2x-3 and combine like terms.
\left(1-2x+x^{2}\right)\left(2x-3\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-x\right)^{2}.
8x-3-7x^{2}+2x^{3}
Use the distributive property to multiply 1-2x+x^{2} by 2x-3 and combine like terms.
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