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Popular >

expand x^3(4e^{(y^3)/3}y^3+e^{(y^3)/3}y^6)

Solution

expand

x^{3} (4 e^{\frac{y ^{3}}{3}} y^{3} + e^{\frac{y ^{3}}{3}} y^{6})

Solution

4 e^{\frac{y ^{3}}{3}} x^{3} y^{3} + e^{\frac{y ^{3}}{3}} x^{3} y^{6}

Solution steps

x^{3} (4 e^{\frac{y ^{3}}{3}} y^{3} + e^{\frac{y ^{3}}{3}} y^{6})

Apply the distributive law:

a (b + c) = ab + a c

a = x^{3}, b = 4 e^{\frac{y ^{3}}{3}} y^{3}, c = e^{\frac{y ^{3}}{3}} y^{6}

= x^{3} \cdot 4 e^{\frac{y ^{3}}{3}} y^{3} + x^{3} e^{\frac{y ^{3}}{3}} y^{6}

= 4 e^{\frac{y ^{3}}{3}} x^{3} y^{3} + e^{\frac{y ^{3}}{3}} x^{3} y^{6}

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Frequently Asked Questions (FAQ)

What is expand x^3(4e^{(y^3)/3}y^3+e^{(y^3)/3}y^6) ?
The solution to expand x^3(4e^{(y^3)/3}y^3+e^{(y^3)/3}y^6) is 4e^{(y^3)/3}x^3y^3+e^{(y^3)/3}x^3y^6