Challenge: Algebraic Expressions & Identities

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Across
  1. 3. Simplify (x²- y²z)²+ 2x³y²
  2. 4. Find the volume of a cuboid whose length is 2xy, breadth is -y² and height is 2x²y. (Hint: Volume of cuboid = length x breadth x height)
  3. 8. Simplify (xy+yz)²
  4. 10. Add 3x(x-y+z) and 2y(x-y+z)
  5. 11. Subtract 4z(-x+y+z) from 3x(x+y+z)-2y(x-y+z)
  6. 12. What is the value of (x+y)² + (x-y)² on simplification?
  7. 14. What is the circumference of a circle whose radius is (7xy-7yz-14xz). (Hint: The circumference of a circle = 2 x pi x r and pi = 22/7).
  8. 17. Simplify (xy-2z)(xy-2z)
  9. 19. What is the area of a parallelogram with base as (2x+3) units and height as (2x-3) units?
Down
  1. 1. What do you get on the multiplication of (3x²+5y²) and (5x²-3y²)?
  2. 2. (x-y)(x+y)+(y-z)(y+z)+(z-x)(z+x)
  3. 5. What is the area of a square with side (4x+5) units?
  4. 6. Simplify (3x+5y)²-30xy
  5. 7. Simplify (xy+yz)²-2xy²z
  6. 8. Simplify (2x-2y-3)(x+y+5)
  7. 9. Multiply (x²-5x+6) and (2x+7)
  8. 13. Simplify -xyz(x²+y²+z²)
  9. 15. What is the sum of (x-y+xy),(y+z-yz) and (z-x-xz)
  10. 16. Simplify (2x+5)(2x-7)
  11. 18. Simplify (2x-3y)(2x+3y)