(3a+b)(3a-b)(9a^2+b^2)=

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Solution for (3a+b)(3a-b)(9a^2+b^2)= equation:


Simplifying
(3a + b)(3a + -1b)(9a2 + b2) = 0

Multiply (3a + b) * (3a + -1b)
(3a * (3a + -1b) + b(3a + -1b))(9a2 + b2) = 0
((3a * 3a + -1b * 3a) + b(3a + -1b))(9a2 + b2) = 0

Reorder the terms:
((-3ab + 9a2) + b(3a + -1b))(9a2 + b2) = 0
((-3ab + 9a2) + b(3a + -1b))(9a2 + b2) = 0
(-3ab + 9a2 + (3a * b + -1b * b))(9a2 + b2) = 0
(-3ab + 9a2 + (3ab + -1b2))(9a2 + b2) = 0

Reorder the terms:
(-3ab + 3ab + 9a2 + -1b2)(9a2 + b2) = 0

Combine like terms: -3ab + 3ab = 0
(0 + 9a2 + -1b2)(9a2 + b2) = 0
(9a2 + -1b2)(9a2 + b2) = 0

Multiply (9a2 + -1b2) * (9a2 + b2)
(9a2 * (9a2 + b2) + -1b2 * (9a2 + b2)) = 0
((9a2 * 9a2 + b2 * 9a2) + -1b2 * (9a2 + b2)) = 0

Reorder the terms:
((9a2b2 + 81a4) + -1b2 * (9a2 + b2)) = 0
((9a2b2 + 81a4) + -1b2 * (9a2 + b2)) = 0
(9a2b2 + 81a4 + (9a2 * -1b2 + b2 * -1b2)) = 0
(9a2b2 + 81a4 + (-9a2b2 + -1b4)) = 0

Reorder the terms:
(9a2b2 + -9a2b2 + 81a4 + -1b4) = 0

Combine like terms: 9a2b2 + -9a2b2 = 0
(0 + 81a4 + -1b4) = 0
(81a4 + -1b4) = 0

Solving
81a4 + -1b4 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'b4' to each side of the equation.
81a4 + -1b4 + b4 = 0 + b4

Combine like terms: -1b4 + b4 = 0
81a4 + 0 = 0 + b4
81a4 = 0 + b4
Remove the zero:
81a4 = b4

Divide each side by '81'.
a4 = 0.01234567901b4

Simplifying
a4 = 0.01234567901b4

Combine like terms: 0.01234567901b4 + -0.01234567901b4 = 0.00000000000
a4 + -0.01234567901b4 = 0.00000000000

The solution to this equation could not be determined.

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