What is (2a^2b+4a)^2(2a^2b-4a)^2 ?

The solution to (2a^2b+4a)^2(2a^2b-4a)^2 is (2a^2b+4a)^2(2a^2b-4a)^2

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simplify (2a^2b+4a)^2(2a^2b-4a)^2

simplify

(2 a^{2} b + 4 a)^{2} (2 a^{2} b - 4 a)^{2}

(2 a^{2} b + 4 a)^{2} (2 a^{2} b - 4 a)^{2}

Solution steps

(2 a^{2} b + 4 a)^{2} (2 a^{2} b - 4 a)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(2 a^{2} b + 4 a)^{2} (2 a^{2} b - 4 a)^{2} = ((2 a^{2} b + 4 a) (2 a^{2} b - 4 a))^{2}

= ((2 a^{2} b + 4 a) (2 a^{2} b - 4 a))^{2}

Apply exponent rule:

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

= (2 a^{2} b + 4 a)^{2} (2 a^{2} b - 4 a)^{2}

9.32 \cdot 1 0^{- 10}

(5 x^{3}) 5

e^{- 300000}

4 π^{2} \cdot 1 0^{- 2 \cdot (- 4.54394)}

What is (2a^2b+4a)^2(2a^2b-4a)^2 ?
The solution to (2a^2b+4a)^2(2a^2b-4a)^2 is (2a^2b+4a)^2(2a^2b-4a)^2