What is sqrt((a^2-b^2))^3 ?

The solution to sqrt((a^2-b^2))^3 is (a^2-b^2)sqrt(a^2-b^2)

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simplify sqrt((a^2-b^2))^3

simplify

(a^{2} - b^{2})^{3}

(a^{2} - b^{2}) a^{2} - b^{2}

Solution steps

(a^{2} - b^{2})^{3}

Apply rule:

(a) = a

(a^{2} - b^{2}) = a^{2} - b^{2}

= (a^{2} - b^{2})^{3}

Apply exponent rule:

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

(a^{2} - b^{2})^{2 + 1} = (a^{2} - b^{2})^{2} a^{2} - b^{2}

= (a^{2} - b^{2})^{2} a^{2} - b^{2}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(a^{2} - b^{2})^{2} = a^{2} - b^{2}

= (a^{2} - b^{2}) a^{2} - b^{2}

= a^{2} - b^{2} (a^{2} - b^{2})

= (a^{2} - b^{2}) a^{2} - b^{2}

2 e^{2 x} \cdot x e^{2 x}

(2.87 \cdot 1 0^{- 10})^{12} \cdot 0.141 \cdot 1 0^{- 21}

(e^{x}) e^{x}

(x^{2} + 8 x - 84) e^{- 3.25 x}

What is sqrt((a^2-b^2))^3 ?
The solution to sqrt((a^2-b^2))^3 is (a^2-b^2)sqrt(a^2-b^2)