(a+10b)(a-10b)=

Solution for (a+10b)(a-10b)= equation:

Simplifying
(a + 10b)(a + -10b) = 0

Multiply (a + 10b) * (a + -10b)
(a(a + -10b) + 10b * (a + -10b)) = 0
((a * a + -10b * a) + 10b * (a + -10b)) = 0

Reorder the terms:
((-10ab + a2) + 10b * (a + -10b)) = 0
((-10ab + a2) + 10b * (a + -10b)) = 0
(-10ab + a2 + (a * 10b + -10b * 10b)) = 0
(-10ab + a2 + (10ab + -100b2)) = 0

Reorder the terms:
(-10ab + 10ab + a2 + -100b2) = 0

Combine like terms: -10ab + 10ab = 0
(0 + a2 + -100b2) = 0
(a2 + -100b2) = 0

Solving
a2 + -100b2 = 0

Solving for variable 'a'.

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

Add '100b2' to each side of the equation.
a2 + -100b2 + 100b2 = 0 + 100b2

Combine like terms: -100b2 + 100b2 = 0
a2 + 0 = 0 + 100b2
a2 = 0 + 100b2
Remove the zero:
a2 = 100b2

Simplifying
a2 = 100b2

Take the square root of each side:
a = {-10b, 10b}