(a+2b)(a-2b)=

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

Simplifying
(a + 2b)(a + -2b) = 0

Multiply (a + 2b) * (a + -2b)
(a(a + -2b) + 2b * (a + -2b)) = 0
((a * a + -2b * a) + 2b * (a + -2b)) = 0

Reorder the terms:
((-2ab + a2) + 2b * (a + -2b)) = 0
((-2ab + a2) + 2b * (a + -2b)) = 0
(-2ab + a2 + (a * 2b + -2b * 2b)) = 0
(-2ab + a2 + (2ab + -4b2)) = 0

Reorder the terms:
(-2ab + 2ab + a2 + -4b2) = 0

Combine like terms: -2ab + 2ab = 0
(0 + a2 + -4b2) = 0
(a2 + -4b2) = 0

Solving
a2 + -4b2 = 0

Solving for variable 'a'.

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

Add '4b2' to each side of the equation.
a2 + -4b2 + 4b2 = 0 + 4b2

Combine like terms: -4b2 + 4b2 = 0
a2 + 0 = 0 + 4b2
a2 = 0 + 4b2
Remove the zero:
a2 = 4b2

Simplifying
a2 = 4b2

Take the square root of each side:
a = {-2b, 2b}