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Comprehensive Solutions for Various Algebraic Equations

This document provides detailed solutions and insights into a series of algebraic equations, encompassing polynomial equations of varying degrees. It focuses on factors, roots, and quadratic equations, along with additional mathematical expressions that require solving. With clear formatting and step-by-step explanations, learners and enthusiasts alike will find guidance on tackling complex algebraic problems efficiently. From simplifying expressions to finding factorizations, this resource is a valuable tool for students and educators alike.

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Comprehensive Solutions for Various Algebraic Equations

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  1. 1 X X X X X X2 X2 X2 X X2 X2 X2 X2 X Y 1 X X X Y2 X2 XY 1 X2 X Y2 Y XY X X

  2. 1 X 1 Y 1 1 Y Y X X X X Y Y Y X2 Y Y2 Y2 X2 Y X2 Y Y Y Y2 Y Y2 Y Y Y Y2 X X X XY 1 X2 X Y2 Y XY

  3. 1 X X X2 X2 Y X2 Y Y Y Y Y2 Y Y2 Y Y Y2 Y X Y X X X X X X X Y Y X X Y XY 1 X X2 X Y X X Y2 Y Y XY 1 Y Y 1 1

  4. 1 X X X X X X X X X X2 X2 X2 X2 X2 Y XY Y2 X XY X X XY 1 XY XY 1 X2 X Y2 Y XY

  5. 1 X X X X X X2 X2 X2 Y Y2 X X X 1 XY 1 X2 X Y2 Y XY

  6. 1. 4x3 + 5x2 = _________________________ 2. 16y2 - 24xy2 = _________________________

  7. 3. x2 + 12x + 27 = _________________ 4. y2 - 9y + 14 = _________________

  8. 5. y2 - 11y + 18 = ________________________ 6. x2 - 4x - 5 = ________________________

  9. 7. 30n3 + 60n2 + 120n = 8. w3 - 45w2 - 37w = 9. x2 + 10x + 25 = 10. z2 - 13z + 36 =

  10. 11. y2 + 6y - 16 = 12. p2 -3p - 28 =

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