y=(2a+5b)(2a-5b)(a+b)

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Solution for y=(2a+5b)(2a-5b)(a+b) equation:


Simplifying
y = (2a + 5b)(2a + -5b)(a + b)

Multiply (2a + 5b) * (2a + -5b)
y = (2a * (2a + -5b) + 5b * (2a + -5b))(a + b)
y = ((2a * 2a + -5b * 2a) + 5b * (2a + -5b))(a + b)

Reorder the terms:
y = ((-10ab + 4a2) + 5b * (2a + -5b))(a + b)
y = ((-10ab + 4a2) + 5b * (2a + -5b))(a + b)
y = (-10ab + 4a2 + (2a * 5b + -5b * 5b))(a + b)
y = (-10ab + 4a2 + (10ab + -25b2))(a + b)

Reorder the terms:
y = (-10ab + 10ab + 4a2 + -25b2)(a + b)

Combine like terms: -10ab + 10ab = 0
y = (0 + 4a2 + -25b2)(a + b)
y = (4a2 + -25b2)(a + b)

Multiply (4a2 + -25b2) * (a + b)
y = (4a2 * (a + b) + -25b2 * (a + b))
y = ((a * 4a2 + b * 4a2) + -25b2 * (a + b))

Reorder the terms:
y = ((4a2b + 4a3) + -25b2 * (a + b))
y = ((4a2b + 4a3) + -25b2 * (a + b))
y = (4a2b + 4a3 + (a * -25b2 + b * -25b2))
y = (4a2b + 4a3 + (-25ab2 + -25b3))

Reorder the terms:
y = (-25ab2 + 4a2b + 4a3 + -25b3)
y = (-25ab2 + 4a2b + 4a3 + -25b3)

Solving
y = -25ab2 + 4a2b + 4a3 + -25b3

Solving for variable 'y'.

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

Simplifying
y = -25ab2 + 4a2b + 4a3 + -25b3

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