Issolvi (x+6)div(2x-7)+1divx

$$(x+6) \div (2x-7)+1 \div x$$

Evalwa

$$\frac{x^{2}+8x-7}{x\left(2x-7\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 2x-7 u x huwa x\left(2x-7\right). Immultiplika \frac{x+6}{2x-7} b'\frac{x}{x}. Immultiplika \frac{1}{x} b'\frac{2x-7}{2x-7}.

$$\frac{\left(x+6\right)x}{x\left(2x-7\right)}+\frac{2x-7}{x\left(2x-7\right)}$$

Billi \frac{\left(x+6\right)x}{x\left(2x-7\right)} u \frac{2x-7}{x\left(2x-7\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\left(x+6\right)x+2x-7}{x\left(2x-7\right)}$$

Agħmel il-multiplikazzjonijiet fi \left(x+6\right)x+2x-7.

$$\frac{x^{2}+6x+2x-7}{x\left(2x-7\right)}$$

Ikkombina termini simili f'x^{2}+6x+2x-7.

$$\frac{x^{2}+8x-7}{x\left(2x-7\right)}$$

Espandi x\left(2x-7\right).

$$\frac{x^{2}+8x-7}{2x^{2}-7x}$$

Espandi

$$\frac{x^{2}+8x-7}{x\left(2x-7\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 2x-7 u x huwa x\left(2x-7\right). Immultiplika \frac{x+6}{2x-7} b'\frac{x}{x}. Immultiplika \frac{1}{x} b'\frac{2x-7}{2x-7}.

$$\frac{\left(x+6\right)x}{x\left(2x-7\right)}+\frac{2x-7}{x\left(2x-7\right)}$$

Billi \frac{\left(x+6\right)x}{x\left(2x-7\right)} u \frac{2x-7}{x\left(2x-7\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\left(x+6\right)x+2x-7}{x\left(2x-7\right)}$$

Agħmel il-multiplikazzjonijiet fi \left(x+6\right)x+2x-7.

$$\frac{x^{2}+6x+2x-7}{x\left(2x-7\right)}$$

Ikkombina termini simili f'x^{2}+6x+2x-7.

$$\frac{x^{2}+8x-7}{x\left(2x-7\right)}$$

Espandi x\left(2x-7\right).

$$\frac{x^{2}+8x-7}{2x^{2}-7x}$$