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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}}
I-multiply ang \frac{4x^{2}+x-14}{6xy-14y} sa \frac{4x^{2}}{x^{2}-4} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.
\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}}
I-multiply ang \frac{\left(4x^{2}+x-14\right)\times 4x^{2}}{\left(6xy-14y\right)\left(x^{2}-4\right)} sa \frac{x-2}{4x-7} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.
\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)}}
I-factor ang mga expression na hindi pa na-factor sa \frac{2x^{2}+4x}{3x^{2}-x-14}.
\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}}
I-cancel out ang x+2 sa parehong numerator at denominator.
\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}
I-divide ang \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)} gamit ang \frac{2x}{3x-7} sa pamamagitan ng pagmu-multiply sa \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)} gamit ang reciprocal ng \frac{2x}{3x-7}.
\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)}
I-cancel out ang 2x sa parehong numerator at denominator.
\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)}
I-factor ang mga expression na hindi pa na-factor.
\frac{x}{y}
I-cancel out ang 2\left(x-2\right)\left(3x-7\right)\left(4x-7\right)\left(x+2\right) sa parehong numerator at denominator.
\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}}
I-multiply ang \frac{4x^{2}+x-14}{6xy-14y} sa \frac{4x^{2}}{x^{2}-4} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.
\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}}
I-multiply ang \frac{\left(4x^{2}+x-14\right)\times 4x^{2}}{\left(6xy-14y\right)\left(x^{2}-4\right)} sa \frac{x-2}{4x-7} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.
\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)}}
I-factor ang mga expression na hindi pa na-factor sa \frac{2x^{2}+4x}{3x^{2}-x-14}.
\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}}
I-cancel out ang x+2 sa parehong numerator at denominator.
\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}
I-divide ang \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)} gamit ang \frac{2x}{3x-7} sa pamamagitan ng pagmu-multiply sa \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)} gamit ang reciprocal ng \frac{2x}{3x-7}.
\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)}
I-cancel out ang 2x sa parehong numerator at denominator.
\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)}
I-factor ang mga expression na hindi pa na-factor.
\frac{x}{y}
I-cancel out ang 2\left(x-2\right)\left(3x-7\right)\left(4x-7\right)\left(x+2\right) sa parehong numerator at denominator.