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Simplify: (1.5x – 4y)(1.5x + 4y +3) – 4.5x +12y
- a)2.25x2− 16y2
- b)x2− 16y2
- c)2.25x2− y2
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Simplify: (1.5x – 4y)(1.5x + 4y +3) – 4.5x +12ya)2.25x2&mi...
Simplify: (1.5x – 4y)(1.5x + 4y + 3) – 4.5x + 12y
To simplify the expression, follow these steps:
- Multiply the binomial (1.5x – 4y) by the trinomial (1.5x + 4y + 3).
- This results in:
- 1.5x * 1.5x = 2.25x²
- 1.5x * 4y = 6xy
- 1.5x * 3 = 4.5x
- -4y * 1.5x = -6xy
- -4y * 4y = -16y²
- -4y * 3 = -12y
- Combine these results:
- 2.25x² + (6xy - 6xy) - 16y² - 12y
- Now, subtract (4.5x - 12y) from the result:
- 2.25x² - 4.5x - 16y² + 12y
The final simplified expression is:
2.25x² - 16y²
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