Simplify: (1.5x − 4y)(1.5x + 4y + 3) − 4.5x + 12y

Answer choices

  1. A. 2.25x² − 16y² + 4.5x − 12y − 4.5x + 12y
  2. B. 2.25x² − 16y² ✓ Correct
  3. C. 2.25x² − 16y² + 9x − 24y
  4. D. 2.25x² + 16y²

Explanation

(1.5x-4y)(1.5x+4y+3) - 4.5x+12y. Let a=1.5x-4y: a(1.5x+4y+3) = a[(a+8y)+3] + ... Using difference of squares: (1.5x-4y)(1.5x+4y) = 2.25x²-16y². The +3 and subtraction terms cancel: 3(1.5x-4y) - 4.5x+12y = 4.5x-12y-4.5x+12y = 0. Final = 2.25x²-16y².

Practice in quiz app → More बीजगणित एवं पैटर्न questions

Subject: Maths