展开 t^4(e^{11/3}+t^2)

解答

展开

t^{4} (e^{\frac{11}{3}} + t^{2})

t^{6} + e^{\frac{11}{3}} t^{4}

求解步骤

t^{4} (e^{\frac{11}{3}} + t^{2})

使用分配律:

a (b + c) = ab + a c

a = t^{4}, b = e^{\frac{11}{3}}, c = t^{2}

= t^{4} e^{\frac{11}{3}} + t^{4} t^{2}

= e^{\frac{11}{3}} t^{4} + t^{4} t^{2}

化简

e^{\frac{11}{3}} t^{4} + t^{4} t^{2} : t^{6} + e^{\frac{11}{3}} t^{4}

= t^{6} + e^{\frac{11}{3}} t^{4}

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