What is (x^2+a)^2(x^2-a)^2 ?

The solution to (x^2+a)^2(x^2-a)^2 is (x^2+a)^2(x^2-a)^2

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simplify (x^2+a)^2(x^2-a)^2

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

2 (6.67 \cdot 1 0^{- 11}) (1.99 \cdot 1 0^{30})

\frac{2 a}{3} \cdot \frac{3}{2 a}

3 x^{2} (x + 1)^{2}

3.9 \cdot 1 0^{- 6}

8262 \frac{15}{2} 2

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