Respuesta:
9[(√7)³+ (√2)³].
Explicación paso a paso:
B=( 3√7 + 3√2 )(21-3√14+6)=3( 3√7 + 3√2 )(9-√14)=3( 3√7 + 3√2 )(7-√7•√2+2)=9(√7 + √2)(7-√7•√2+2)=9(√7 + √2)³.
Donde se usó que: a³+b³=(a+b)(a²-ab+b²).
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Respuesta:
9[(√7)³+ (√2)³].
Explicación paso a paso:
B=( 3√7 + 3√2 )(21-3√14+6)=3( 3√7 + 3√2 )(9-√14)=3( 3√7 + 3√2 )(7-√7•√2+2)=9(√7 + √2)(7-√7•√2+2)=9(√7 + √2)³.
Donde se usó que: a³+b³=(a+b)(a²-ab+b²).