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\frac{\frac{\left(4x^{2}+x-14\right)\times 4x^{2}}{\left(6xy-14y\right)\left(x^{2}-4\right)}\times \frac{x-2}{4x-7}}{\frac{2x^{2}+4x}{3x^{2}-x-14}}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4x^{2}+x-14}{6xy-14y} ni \frac{4x^{2}}{x^{2}-4} ga ko‘paytiring.
\frac{\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)}}{\frac{2x^{2}+4x}{3x^{2}-x-14}}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(4x^{2}+x-14\right)\times 4x^{2}}{\left(6xy-14y\right)\left(x^{2}-4\right)} ni \frac{x-2}{4x-7} ga ko‘paytiring.
\frac{\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)}}{\frac{2x\left(x+2\right)}{\left(3x-7\right)\left(x+2\right)}}
\frac{2x^{2}+4x}{3x^{2}-x-14} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)}}{\frac{2x}{3x-7}}
Surat va maxrajdagi ikkala x+2 ni qisqartiring.
\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)\left(3x-7\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)\times 2x}
\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)} ni \frac{2x}{3x-7} ga bo'lish \frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)} ga k'paytirish \frac{2x}{3x-7} ga qaytarish.
\frac{2x\left(x-2\right)\left(3x-7\right)\left(4x^{2}+x-14\right)}{\left(4x-7\right)\left(x^{2}-4\right)\left(6xy-14y\right)}
Surat va maxrajdagi ikkala 2x ni qisqartiring.
\frac{2x\left(x-2\right)\left(3x-7\right)\left(4x-7\right)\left(x+2\right)}{2y\left(x-2\right)\left(3x-7\right)\left(4x-7\right)\left(x+2\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{x}{y}
Surat va maxrajdagi ikkala 2\left(x-2\right)\left(3x-7\right)\left(4x-7\right)\left(x+2\right) ni qisqartiring.
\frac{\frac{\left(4x^{2}+x-14\right)\times 4x^{2}}{\left(6xy-14y\right)\left(x^{2}-4\right)}\times \frac{x-2}{4x-7}}{\frac{2x^{2}+4x}{3x^{2}-x-14}}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4x^{2}+x-14}{6xy-14y} ni \frac{4x^{2}}{x^{2}-4} ga ko‘paytiring.
\frac{\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)}}{\frac{2x^{2}+4x}{3x^{2}-x-14}}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(4x^{2}+x-14\right)\times 4x^{2}}{\left(6xy-14y\right)\left(x^{2}-4\right)} ni \frac{x-2}{4x-7} ga ko‘paytiring.
\frac{\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)}}{\frac{2x\left(x+2\right)}{\left(3x-7\right)\left(x+2\right)}}
\frac{2x^{2}+4x}{3x^{2}-x-14} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)}}{\frac{2x}{3x-7}}
Surat va maxrajdagi ikkala x+2 ni qisqartiring.
\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)\left(3x-7\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)\times 2x}
\frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)} ni \frac{2x}{3x-7} ga bo'lish \frac{\left(4x^{2}+x-14\right)\times 4x^{2}\left(x-2\right)}{\left(6xy-14y\right)\left(x^{2}-4\right)\left(4x-7\right)} ga k'paytirish \frac{2x}{3x-7} ga qaytarish.
\frac{2x\left(x-2\right)\left(3x-7\right)\left(4x^{2}+x-14\right)}{\left(4x-7\right)\left(x^{2}-4\right)\left(6xy-14y\right)}
Surat va maxrajdagi ikkala 2x ni qisqartiring.
\frac{2x\left(x-2\right)\left(3x-7\right)\left(4x-7\right)\left(x+2\right)}{2y\left(x-2\right)\left(3x-7\right)\left(4x-7\right)\left(x+2\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{x}{y}
Surat va maxrajdagi ikkala 2\left(x-2\right)\left(3x-7\right)\left(4x-7\right)\left(x+2\right) ni qisqartiring.