What is (t^5-2t)^3(t^5+2t)^3 ?

The solution to (t^5-2t)^3(t^5+2t)^3 is (t^5-2t)^3(t^5+2t)^3

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simplify (t^5-2t)^3(t^5+2t)^3

simplify

(t^{5} - 2 t)^{3} (t^{5} + 2 t)^{3}

(t^{5} - 2 t)^{3} (t^{5} + 2 t)^{3}

Solution steps

(t^{5} - 2 t)^{3} (t^{5} + 2 t)^{3}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(t^{5} - 2 t)^{3} (t^{5} + 2 t)^{3} = ((t^{5} - 2 t) (t^{5} + 2 t))^{3}

= ((t^{5} - 2 t) (t^{5} + 2 t))^{3}

Apply exponent rule:

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

= (t^{5} - 2 t)^{3} (t^{5} + 2 t)^{3}

2 4 - 2^{2}

(4 + x)^{- \frac{1}{2}}

3 (23)

100000 e^{- 2}

What is (t^5-2t)^3(t^5+2t)^3 ?
The solution to (t^5-2t)^3(t^5+2t)^3 is (t^5-2t)^3(t^5+2t)^3