((2x+3)/(2x+14))+((14)/(3x-21))

asked by guest
on Apr 13, 2025 at 11:03 am



You asked:

Evaluate the expression: 2x+32x+14+143x−21\frac{2 x + 3}{2 x + 14} + \frac{14}{3 x - 21}

MathBot Answer:

Evaluated



2x+32x+14+143x−21=2x+32x+14+143x−21\displaystyle \frac{2 x + 3}{2 x + 14} + \frac{14}{3 x - 21} = \frac{2 x + 3}{2 x + 14} + \frac{14}{3 x - 21}

Expanded

2x+32x+14+143x−21=2x2x+14+143x−21+32x+14\frac{2 x + 3}{2 x + 14} + \frac{14}{3 x - 21} = \frac{2 x}{2 x + 14} + \frac{14}{3 x - 21} + \frac{3}{2 x + 14}

Factored

2x+32x+14+143x−21=6x2−5x+1336(x−7)(x+7)\frac{2 x + 3}{2 x + 14} + \frac{14}{3 x - 21} = \frac{6 x^{2} - 5 x + 133}{6 \left(x - 7\right) \left(x + 7\right)}

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