(3-4x-4x^2)/(2x^2-7x+3)

asked by guest
on Nov 24, 2024 at 1:00 pm



You asked:

Evaluate the expression: \(\frac{3 - 4 x - 4 {x}^{2}}{2 {x}^{2} - 7 x + 3}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{3 - 4 x - 4 {x}^{2}}{2 {x}^{2} - 7 x + 3} = \frac{- 4 x^{2} - 4 x + 3}{2 x^{2} - 7 x + 3} \)

Expanded

\[\frac{3 - 4 x - 4 {x}^{2}}{2 {x}^{2} - 7 x + 3} = - \frac{4 x^{2}}{2 x^{2} - 7 x + 3} - \frac{4 x}{2 x^{2} - 7 x + 3} + \frac{3}{2 x^{2} - 7 x + 3}\]

Factored

\[\frac{3 - 4 x - 4 {x}^{2}}{2 {x}^{2} - 7 x + 3} = - \frac{2 x + 3}{x - 3}\]

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