Class 8 Exam > Class 8 Questions > Simplify: (1.5x – 4y)(1.5x + 4y +3) &nd...
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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...
(1.5x - 4y) (1.5x + 4y + 3) - 4.5x + 12y
= 1.5x(1.5x + 4y +3) - 4y(1.5x + 4y +3) - 4.5x +12y
= (1.5x X 1.5x) + (1.5x X 4y) + (1.5x X 3) - (4y X 1.5x) - (4y X 4y) - (4y x 3) - 4.5x +12y
= 2.25x^2 + 6xy + 4.5x - 6xy - 16y^2 - 12y - 4.5x + 12y
= 2.25x^2 + ( 6 - 6)xy + (4.5 - 4.5)x - 16y^2 + (12 - 12)y
= 2.25x^2 + 0 + 0 - 16y^2 + 0
= 2.25x^2 - 16y^2
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Simplify: (1.5x – 4y)(1.5x + 4y +3) – 4.5x +12ya)2.25x2&mi...
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Simplify: (1.5x – 4y)(1.5x + 4y +3) – 4.5x +12ya)2.25x2&mi...
(1.5x - 4y) (1.5x + 4y + 3) - 4.5x + 12y
= 1.5x (1.5x + 4y + 3) -4y (1.5x + 4y + 3) - 4.x + 12y
= 2.25x² + 6xy + 4.5x - 6xy - 16y² - 12y - 4.5x + 12y
= 2.25x² + 6xy - 6xy + 4.5x - 4.5x - 16y² - 12y + 12y
= 2.25x² - 16y²
correct option is option a.
= 1.5x (1.5x + 4y + 3) -4y (1.5x + 4y + 3) - 4.x + 12y
= 2.25x² + 6xy + 4.5x - 6xy - 16y² - 12y - 4.5x + 12y
= 2.25x² + 6xy - 6xy + 4.5x - 4.5x - 16y² - 12y + 12y
= 2.25x² - 16y²
correct option is option a.
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Simplify: (1.5x – 4y)(1.5x + 4y +3) – 4.5x +12ya)2.25x2−16y2b)x2−16y2c)2.25x2−y2d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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