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Algebra

  1. Solve for xxx: 2x+5=112x + 5 = 112x+5=11.
    Answer: 3
  2. Factorize x2−9x^2 – 9×2−9.
    Answer: (x−3)(x+3)(x – 3)(x + 3)(x−3)(x+3)
  3. Solve for xxx: x2=16x^2 = 16×2=16.
    Answer: x=±4x = \pm 4x=±4
  4. Expand (x+2)2(x + 2)^2(x+2)2.
    Answer: x2+4x+4x^2 + 4x + 4×2+4x+4
  5. Solve for yyy: y−7=3y – 7 = 3y−7=3.
    Answer: 10
  6. Factorize x2−4x−12x^2 – 4x – 12×2−4x−12.
    Answer: (x−6)(x+2)(x – 6)(x + 2)(x−6)(x+2)
  7. Simplify 3x+2x3x + 2x3x+2x.
    Answer: 5x
  8. Solve 3(x+2)=153(x + 2) = 153(x+2)=15.
    Answer: 3
  9. Find xxx if 5x=205x = 205x=20.
    Answer: 4
  10. Solve for xxx: x2+2x−15=0x^2 + 2x – 15 = 0x2+2x−15=0.
    Answer: x=3,x=−5x = 3, x = -5x=3,x=−5
  11. Expand (x−3)(x+4)(x – 3)(x + 4)(x−3)(x+4).
    Answer: x2+x−12x^2 + x – 12×2+x−12
  12. Factorize x2−16x^2 – 16×2−16.
    Answer: (x−4)(x+4)(x – 4)(x + 4)(x−4)(x+4)
  13. Solve 4x−2=144x – 2 = 144x−2=14.
    Answer: 4
  14. Simplify 6x−2x6x – 2x6x−2x.
    Answer: 4x
  15. Factorize x2−5x+6x^2 – 5x + 6×2−5x+6.
    Answer: (x−3)(x−2)(x – 3)(x – 2)(x−3)(x−2)
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