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Popular >

simplify (sqrt(4+x^2))^3

Solution

simplify

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

Solution

(4 + x^{2}) 4 + x^{2}

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(4 + x^{2})^{2 + 1} = (4 + x^{2})^{2} 4 + x^{2}

= (4 + x^{2})^{2} 4 + x^{2}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(4 + x^{2})^{2} = 4 + x^{2}

= (4 + x^{2}) 4 + x^{2}

= 4 + x^{2} (4 + x^{2})

= (4 + x^{2}) 4 + x^{2}

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Frequently Asked Questions (FAQ)

What is (sqrt(4+x^2))^3 ?
The solution to (sqrt(4+x^2))^3 is (4+x^2)sqrt(4+x^2)