simplify \frac{x^{2}-7x+12}{x^{2}-8x+16}
You asked:
Simplify the expression: \(\frac{{x}^{2} - 7 x + 12}{{x}^{2} - 8 x + 16}\)
MathBot Answer:
Simplified:
\[ \frac{{x}^{2} - 7 x + 12}{{x}^{2} - 8 x + 16} = \frac{x - 3}{x - 4} \]
Expanded:
\[ \frac{{x}^{2} - 7 x + 12}{{x}^{2} - 8 x + 16} = \frac{x^{2}}{x^{2} - 8 x + 16} - \frac{7 x}{x^{2} - 8 x + 16} + \frac{12}{x^{2} - 8 x + 16} \]
Factored:
\[ \frac{{x}^{2} - 7 x + 12}{{x}^{2} - 8 x + 16} = \frac{x - 3}{x - 4} \]