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Simplifying y3 + 27 = (y + 3)(y2 + -3y + 9) Reorder the terms: 27 + y3 = (y + 3)(y2 + -3y + 9) Reorder the terms: 27 + y3 = (3 + y)(y2 + -3y + 9) Reorder the terms: 27 + y3 = (3 + y)(9 + -3y + y2) Multiply (3 + y) * (9 + -3y + y2) 27 + y3 = (3(9 + -3y + y2) + y(9 + -3y + y2)) 27 + y3 = ((9 * 3 + -3y * 3 + y2 * 3) + y(9 + -3y + y2)) 27 + y3 = ((27 + -9y + 3y2) + y(9 + -3y + y2)) 27 + y3 = (27 + -9y + 3y2 + (9 * y + -3y * y + y2 * y)) 27 + y3 = (27 + -9y + 3y2 + (9y + -3y2 + y3)) Reorder the terms: 27 + y3 = (27 + -9y + 9y + 3y2 + -3y2 + y3) Combine like terms: -9y + 9y = 0 27 + y3 = (27 + 0 + 3y2 + -3y2 + y3) 27 + y3 = (27 + 3y2 + -3y2 + y3) Combine like terms: 3y2 + -3y2 = 0 27 + y3 = (27 + 0 + y3) 27 + y3 = (27 + y3) Add '-27' to each side of the equation. 27 + -27 + y3 = 27 + -27 + y3 Combine like terms: 27 + -27 = 0 0 + y3 = 27 + -27 + y3 y3 = 27 + -27 + y3 Combine like terms: 27 + -27 = 0 y3 = 0 + y3 y3 = y3 Add '-1y3' to each side of the equation. y3 + -1y3 = y3 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = y3 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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