Pertanyaan

N i l ai d a r i x . 6 x + 1 ( 6 x 2 ) ( 3 x 2 . x + 1 ) = ...

$N i l ai d a r i \frac{( 6 x ^{2} ) ( 3 x ^{2} . x + 1 )}{x . 6 x + 1} = ...$

1
$fraction numerator 1 over denominator root index 6 of x squared end root end fraction$
$fraction numerator x over denominator square root of x plus 1 end root end fraction$

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$begin mathsize 14px style fraction numerator open parentheses root index 6 of x squared end root close parentheses open parentheses cube root of x squared. square root of x plus 1 end root end root close parentheses over denominator x. root index 6 of x plus 1 end root end fraction equals fraction numerator x to the power of begin display style 2 over 6 end style end exponent open parentheses x squared open parentheses x plus 1 close parentheses to the power of begin display style 1 half end style end exponent close parentheses to the power of begin display style 1 third end style end exponent over denominator x open parentheses x plus 1 close parentheses to the power of begin display style 1 over 6 end style end exponent end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator x to the power of begin display style 1 third end style end exponent open parentheses x squared close parentheses to the power of begin display style 1 third end style end exponent open parentheses open parentheses x plus 1 close parentheses to the power of begin display style 1 half end style end exponent close parentheses to the power of begin display style 1 third end style end exponent over denominator x open parentheses x plus 1 close parentheses to the power of begin display style 1 over 6 end style end exponent end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator x to the power of begin display style 1 third end style end exponent x to the power of begin display style 2 over 3 end style end exponent up diagonal strike open parentheses x plus 1 close parentheses to the power of begin display style 1 over 6 end style end exponent end strike over denominator x up diagonal strike open parentheses x plus 1 close parentheses to the power of begin display style 1 over 6 end style end exponent end strike end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator x to the power of begin display style 1 third end style end exponent x to the power of begin display style 2 over 3 end style end exponent over denominator x end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals x to the power of begin display style 1 third end style plus begin display style 2 over 3 end style end exponent over x space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals x over x space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 space end style$