Evaluate
8x^{2}-12x+16
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8x^{2}-12x+16
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\frac{2\left(4x+3\right)\left(x^{2}-\frac{3}{2}x+2\right)}{\frac{1}{4}\left(4x+3\right)}
Factor the expressions that are not already factored.
\frac{2\left(x^{2}-\frac{3}{2}x+2\right)}{\frac{1}{4}}
Cancel out 4x+3 in both numerator and denominator.
\frac{2x^{2}-3x+4}{\frac{1}{4}}
Expand the expression.
\left(2x^{2}-3x+4\right)\times 4
Divide 2x^{2}-3x+4 by \frac{1}{4} by multiplying 2x^{2}-3x+4 by the reciprocal of \frac{1}{4}.
8x^{2}-12x+16
Use the distributive property to multiply 2x^{2}-3x+4 by 4.
\frac{2\left(4x+3\right)\left(x^{2}-\frac{3}{2}x+2\right)}{\frac{1}{4}\left(4x+3\right)}
Factor the expressions that are not already factored.
\frac{2\left(x^{2}-\frac{3}{2}x+2\right)}{\frac{1}{4}}
Cancel out 4x+3 in both numerator and denominator.
\frac{2x^{2}-3x+4}{\frac{1}{4}}
Expand the expression.
\left(2x^{2}-3x+4\right)\times 4
Divide 2x^{2}-3x+4 by \frac{1}{4} by multiplying 2x^{2}-3x+4 by the reciprocal of \frac{1}{4}.
8x^{2}-12x+16
Use the distributive property to multiply 2x^{2}-3x+4 by 4.
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