What is (a^2+b^2)^2*(a^2-b^2)^2 ?

The solution to (a^2+b^2)^2*(a^2-b^2)^2 is (a^2+b^2)^2(a^2-b^2)^2

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simplify (a^2+b^2)^2*(a^2-b^2)^2

simplify

(a^{2} + b^{2})^{2} \cdot (a^{2} - b^{2})^{2}

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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What is (a^2+b^2)^2*(a^2-b^2)^2 ?
The solution to (a^2+b^2)^2*(a^2-b^2)^2 is (a^2+b^2)^2(a^2-b^2)^2