p=(4a-3b)(a+2b)-(4a+3b)(a-2b)

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Solution for p=(4a-3b)(a+2b)-(4a+3b)(a-2b) equation: 


Simplifying
p = (4a + -3b)(a + 2b) + -1(4a + 3b)(a + -2b)

Multiply (4a + -3b) * (a + 2b)
p = (4a * (a + 2b) + -3b * (a + 2b)) + -1(4a + 3b)(a + -2b)
p = ((a * 4a + 2b * 4a) + -3b * (a + 2b)) + -1(4a + 3b)(a + -2b)

Reorder the terms:
p = ((8ab + 4a2) + -3b * (a + 2b)) + -1(4a + 3b)(a + -2b)
p = ((8ab + 4a2) + -3b * (a + 2b)) + -1(4a + 3b)(a + -2b)
p = (8ab + 4a2 + (a * -3b + 2b * -3b)) + -1(4a + 3b)(a + -2b)
p = (8ab + 4a2 + (-3ab + -6b2)) + -1(4a + 3b)(a + -2b)

Reorder the terms:
p = (8ab + -3ab + 4a2 + -6b2) + -1(4a + 3b)(a + -2b)

Combine like terms: 8ab + -3ab = 5ab
p = (5ab + 4a2 + -6b2) + -1(4a + 3b)(a + -2b)

Multiply (4a + 3b) * (a + -2b)
p = 5ab + 4a2 + -6b2 + -1(4a * (a + -2b) + 3b * (a + -2b))
p = 5ab + 4a2 + -6b2 + -1((a * 4a + -2b * 4a) + 3b * (a + -2b))

Reorder the terms:
p = 5ab + 4a2 + -6b2 + -1((-8ab + 4a2) + 3b * (a + -2b))
p = 5ab + 4a2 + -6b2 + -1((-8ab + 4a2) + 3b * (a + -2b))
p = 5ab + 4a2 + -6b2 + -1(-8ab + 4a2 + (a * 3b + -2b * 3b))
p = 5ab + 4a2 + -6b2 + -1(-8ab + 4a2 + (3ab + -6b2))

Reorder the terms:
p = 5ab + 4a2 + -6b2 + -1(-8ab + 3ab + 4a2 + -6b2)

Combine like terms: -8ab + 3ab = -5ab
p = 5ab + 4a2 + -6b2 + -1(-5ab + 4a2 + -6b2)
p = 5ab + 4a2 + -6b2 + (-5ab * -1 + 4a2 * -1 + -6b2 * -1)
p = 5ab + 4a2 + -6b2 + (5ab + -4a2 + 6b2)

Reorder the terms:
p = 5ab + 5ab + 4a2 + -4a2 + -6b2 + 6b2

Combine like terms: 5ab + 5ab = 10ab
p = 10ab + 4a2 + -4a2 + -6b2 + 6b2

Combine like terms: 4a2 + -4a2 = 0
p = 10ab + 0 + -6b2 + 6b2
p = 10ab + -6b2 + 6b2

Combine like terms: -6b2 + 6b2 = 0
p = 10ab + 0
p = 10ab

Solving
p = 10ab

Solving for variable 'p'.

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

Simplifying
p = 10ab

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