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\frac{81}{16}a-B^{2}+25B^{2}
Calcula \frac{9}{4} á potencia de 2 e obtén \frac{81}{16}.
\frac{81}{16}a+24B^{2}
Combina -B^{2} e 25B^{2} para obter 24B^{2}.
\frac{81a-16B^{2}+400B^{2}}{16}
Factoriza \frac{1}{16}.
384B^{2}+81a
Considera 81a-16B^{2}+400B^{2}. Multiplica e combina termos semellantes.
3\left(128B^{2}+27a\right)
Considera 384B^{2}+81a. Factoriza 3.
\frac{3\left(128B^{2}+27a\right)}{16}
Reescribe a expresión factorizada completa.