Y=(x+3)(x^2+8x+15)

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Solution for Y=(x+3)(x^2+8x+15) equation: 


Simplifying
Y = (x + 3)(x2 + 8x + 15)

Reorder the terms:
Y = (3 + x)(x2 + 8x + 15)

Reorder the terms:
Y = (3 + x)(15 + 8x + x2)

Multiply (3 + x) * (15 + 8x + x2)
Y = (3(15 + 8x + x2) + x(15 + 8x + x2))
Y = ((15 * 3 + 8x * 3 + x2 * 3) + x(15 + 8x + x2))
Y = ((45 + 24x + 3x2) + x(15 + 8x + x2))
Y = (45 + 24x + 3x2 + (15 * x + 8x * x + x2 * x))
Y = (45 + 24x + 3x2 + (15x + 8x2 + x3))

Reorder the terms:
Y = (45 + 24x + 15x + 3x2 + 8x2 + x3)

Combine like terms: 24x + 15x = 39x
Y = (45 + 39x + 3x2 + 8x2 + x3)

Combine like terms: 3x2 + 8x2 = 11x2
Y = (45 + 39x + 11x2 + x3)

Solving
Y = 45 + 39x + 11x2 + x3

Solving for variable 'Y'.

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

Simplifying
Y = 45 + 39x + 11x2 + x3

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