Evaluate
\frac{i\left(8x-7\right)^{2}}{16}
Expand
4ix^{2}-7ix+\frac{49}{16}i
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i\left(4x^{2}-7x+\frac{49}{16}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-\frac{7}{4}\right)^{2}.
4ix^{2}-7ix+\frac{49}{16}i
Use the distributive property to multiply i by 4x^{2}-7x+\frac{49}{16}.
i\left(4x^{2}-7x+\frac{49}{16}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-\frac{7}{4}\right)^{2}.
4ix^{2}-7ix+\frac{49}{16}i
Use the distributive property to multiply i by 4x^{2}-7x+\frac{49}{16}.
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