(3x^2 -10x +8)/(x^2 -5x +6)

asked by guest
on Jan 15, 2025 at 1:57 pm



You asked:

Evaluate the expression: \(\frac{3 {x}^{2} - 10 x + 8}{{x}^{2} - 5 x + 6}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{3 {x}^{2} - 10 x + 8}{{x}^{2} - 5 x + 6} = \frac{3 x^{2} - 10 x + 8}{x^{2} - 5 x + 6} \)

Expanded

\[\frac{3 {x}^{2} - 10 x + 8}{{x}^{2} - 5 x + 6} = \frac{3 x^{2}}{x^{2} - 5 x + 6} - \frac{10 x}{x^{2} - 5 x + 6} + \frac{8}{x^{2} - 5 x + 6}\]

Factored

\[\frac{3 {x}^{2} - 10 x + 8}{{x}^{2} - 5 x + 6} = \frac{3 x - 4}{x - 3}\]

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