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\frac{25x^{2}}{4}-20x+16
Combine -10x and -10x to get -20x.
\frac{25x^{2}}{4}+\frac{4\left(-20x+16\right)}{4}
To add or subtract expressions, expand them to make their denominators the same. Multiply -20x+16 times \frac{4}{4}.
\frac{25x^{2}+4\left(-20x+16\right)}{4}
Since \frac{25x^{2}}{4} and \frac{4\left(-20x+16\right)}{4} have the same denominator, add them by adding their numerators.
\frac{25x^{2}-80x+64}{4}
Do the multiplications in 25x^{2}+4\left(-20x+16\right).
\frac{25x^{2}-40x-40x+64}{4}
Factor out \frac{1}{4}.
25x^{2}-80x+64
Consider 25x^{2}-40x-40x+64. Multiply and combine like terms.
\left(5x-8\right)^{2}
Consider 25x^{2}-80x+64. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=5x and b=8.
\frac{\left(5x-8\right)^{2}}{4}
Rewrite the complete factored expression.