What is (5a+10b)^2(5a-10b)^2 ?

The solution to (5a+10b)^2(5a-10b)^2 is (5a+10b)^2(5a-10b)^2

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simplify (5a+10b)^2(5a-10b)^2

simplify

(5 a + 10 b)^{2} (5 a - 10 b)^{2}

(5 a + 10 b)^{2} (5 a - 10 b)^{2}

Solution steps

(5 a + 10 b)^{2} (5 a - 10 b)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(5 a + 10 b)^{2} (5 a - 10 b)^{2} = ((5 a + 10 b) (5 a - 10 b))^{2}

= ((5 a + 10 b) (5 a - 10 b))^{2}

Apply exponent rule:

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

= (5 a + 10 b)^{2} (5 a - 10 b)^{2}

e^{- 683}

4 \cdot 1 0^{- 5} \cdot \frac{0.09499}{0.00 5 ^{2}}

(- \frac{20 e ^{- 3 t}}{3}) \cdot (e^{- 5 t})

1.71 x 1 0^{(- 4)}

\frac{( - 1 ) ^{n}}{2 ^{n}}

What is (5a+10b)^2(5a-10b)^2 ?
The solution to (5a+10b)^2(5a-10b)^2 is (5a+10b)^2(5a-10b)^2