b=(a+5)(a+5)-(a-5)(a-5)

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Solution for b=(a+5)(a+5)-(a-5)(a-5) equation:


Simplifying
b = (a + 5)(a + 5) + -1(a + -5)(a + -5)

Reorder the terms:
b = (5 + a)(a + 5) + -1(a + -5)(a + -5)

Reorder the terms:
b = (5 + a)(5 + a) + -1(a + -5)(a + -5)

Multiply (5 + a) * (5 + a)
b = (5(5 + a) + a(5 + a)) + -1(a + -5)(a + -5)
b = ((5 * 5 + a * 5) + a(5 + a)) + -1(a + -5)(a + -5)
b = ((25 + 5a) + a(5 + a)) + -1(a + -5)(a + -5)
b = (25 + 5a + (5 * a + a * a)) + -1(a + -5)(a + -5)
b = (25 + 5a + (5a + a2)) + -1(a + -5)(a + -5)

Combine like terms: 5a + 5a = 10a
b = (25 + 10a + a2) + -1(a + -5)(a + -5)

Reorder the terms:
b = 25 + 10a + a2 + -1(-5 + a)(a + -5)

Reorder the terms:
b = 25 + 10a + a2 + -1(-5 + a)(-5 + a)

Multiply (-5 + a) * (-5 + a)
b = 25 + 10a + a2 + -1(-5(-5 + a) + a(-5 + a))
b = 25 + 10a + a2 + -1((-5 * -5 + a * -5) + a(-5 + a))
b = 25 + 10a + a2 + -1((25 + -5a) + a(-5 + a))
b = 25 + 10a + a2 + -1(25 + -5a + (-5 * a + a * a))
b = 25 + 10a + a2 + -1(25 + -5a + (-5a + a2))

Combine like terms: -5a + -5a = -10a
b = 25 + 10a + a2 + -1(25 + -10a + a2)
b = 25 + 10a + a2 + (25 * -1 + -10a * -1 + a2 * -1)
b = 25 + 10a + a2 + (-25 + 10a + -1a2)

Reorder the terms:
b = 25 + -25 + 10a + 10a + a2 + -1a2

Combine like terms: 25 + -25 = 0
b = 0 + 10a + 10a + a2 + -1a2
b = 10a + 10a + a2 + -1a2

Combine like terms: 10a + 10a = 20a
b = 20a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
b = 20a + 0
b = 20a

Solving
b = 20a

Solving for variable 'b'.

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

Simplifying
b = 20a

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