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Popular >

simplify 2x^2(3+x^3)^2dx

Solution

simplify

2 x^{2} (3 + x^{3})^{2} d x

Solution

2 x^{2} d x (x^{3} + 3)^{2}

Solution steps

2 x^{2} (3 + x^{3})^{2} d x

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{2} (x^{3} + 3)^{2} = (x (x^{3} + 3))^{2}

= 2 (x (x^{3} + 3))^{2} d x

(x (3 + x^{3}))^{2} = x^{2} (3 + x^{3})^{2}

= 2 x^{2} (x^{3} + 3)^{2} d x

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Frequently Asked Questions (FAQ)

What is 2x^2(3+x^3)^2dx ?
The solution to 2x^2(3+x^3)^2dx is 2x^2dx(x^3+3)^2