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Expansion of 2x(x + 2y) + 3x(2x - 3y) yields
- a)8x² - 5xy
- b)8x - 5y
- c)3y - 2y
- d)none of above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Expansion of 2x(x + 2y) + 3x(2x - 3y) yieldsa)8x² - 5xyb)8x - 5yc...
The given expression is 2x(x + 2y) + 3x(2x - 3y).
To expand this expression, we distribute the terms inside the brackets:
1. 2x(x + 2y) = 2x² + 4xy
2. 3x(2x - 3y) = 6x² - 9xy
Adding the two results together we get:
2x² + 4xy + 6x² - 9xy = 8x² - 5xy
Therefore, the correct expansion of the expression is 8x² - 5xy, which matches option A.
To expand this expression, we distribute the terms inside the brackets:
1. 2x(x + 2y) = 2x² + 4xy
2. 3x(2x - 3y) = 6x² - 9xy
Adding the two results together we get:
2x² + 4xy + 6x² - 9xy = 8x² - 5xy
Therefore, the correct expansion of the expression is 8x² - 5xy, which matches option A.
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Expansion of 2x(x + 2y) + 3x(2x - 3y) yieldsa)8x² - 5xyb)8x - 5yc...
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Expansion of 2x(x + 2y) + 3x(2x - 3y) yieldsa)8x² - 5xyb)8x - 5yc...
By splitting the middle term
x^4-5x^2+24
x^4-8x^2+3x^2-24
x^2(x^2-8)+3(x^2-8)
(x^2-8) and
(x^2+3)
x^4-5x^2+24
x^4-8x^2+3x^2-24
x^2(x^2-8)+3(x^2-8)
(x^2-8) and
(x^2+3)
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