Question

(a + 3b{}^{2} ) {}^{3}
$(a + 3b{}^{2} ) {}^{3}$
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Answer 1

Solución: 27b⁶+27ab⁴+9a²b²+a³

Simplificamos:

(a+3b²)³ =

= (a+3b²)·(a+3b²)·(a+3b²)

= (a+3b²)(9b⁴+6ab²+a²)

= (a)(9b⁴)+(a)(6ab²)+(a)(a²)+(3b²)(9b⁴)+(3b²)(6ab²)+(3b²)(a²)

= 9ab⁴+6a²b²+a³+27b⁶+18ab⁴+3a²b²

= 27b⁶+27ab⁴+9a²b²+a²