What is (8a^3+7b)^2(8a^3-7b)^2 ?

The solution to (8a^3+7b)^2(8a^3-7b)^2 is (8a^3+7b)^2(8a^3-7b)^2

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simplify (8a^3+7b)^2(8a^3-7b)^2

simplify

(8 a^{3} + 7 b)^{2} (8 a^{3} - 7 b)^{2}

(8 a^{3} + 7 b)^{2} (8 a^{3} - 7 b)^{2}

Solution steps

(8 a^{3} + 7 b)^{2} (8 a^{3} - 7 b)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(8 a^{3} + 7 b)^{2} (8 a^{3} - 7 b)^{2} = ((8 a^{3} + 7 b) (8 a^{3} - 7 b))^{2}

= ((8 a^{3} + 7 b) (8 a^{3} - 7 b))^{2}

Apply exponent rule:

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

= (8 a^{3} + 7 b)^{2} (8 a^{3} - 7 b)^{2}

1 0^{- 8} \cdot 7.3

e^{- 1.36} \cdot 1.36

e^{- 4971.61008}

e^{3 t} e^{- 2 x}

What is (8a^3+7b)^2(8a^3-7b)^2 ?
The solution to (8a^3+7b)^2(8a^3-7b)^2 is (8a^3+7b)^2(8a^3-7b)^2