Z=(4x-2y)(3x+5y)

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Solution for Z=(4x-2y)(3x+5y) equation: 


Simplifying
Z = (4x + -2y)(3x + 5y)

Multiply (4x + -2y) * (3x + 5y)
Z = (4x * (3x + 5y) + -2y * (3x + 5y))
Z = ((3x * 4x + 5y * 4x) + -2y * (3x + 5y))

Reorder the terms:
Z = ((20xy + 12x2) + -2y * (3x + 5y))
Z = ((20xy + 12x2) + -2y * (3x + 5y))
Z = (20xy + 12x2 + (3x * -2y + 5y * -2y))
Z = (20xy + 12x2 + (-6xy + -10y2))

Reorder the terms:
Z = (20xy + -6xy + 12x2 + -10y2)

Combine like terms: 20xy + -6xy = 14xy
Z = (14xy + 12x2 + -10y2)

Solving
Z = 14xy + 12x2 + -10y2

Solving for variable 'Z'.

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

Simplifying
Z = 14xy + 12x2 + -10y2

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