Vinod claims that when the expression in question 21, is divided by +4) we get 2(x - 5). Varun claims that when the expression is divided by 11x(x + 5) we get 2x(x + 4). Who is/are correct?
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Answer:
Vinod is correct
Vinod:
y / 4 = 2(x - 5) [reverse the expression to find y]
2(x - 5)(4) = y
4(2x -10) = -8x - 40
y = -8x - 40
fact check:
(-8x - 40) / 4 = 2x - 10
factor (2x - 10) = 2(x - 5)
Varun:
-8x - 40 / 11x(x + 5) = 2x(x + 4)
[factor the given]
-8(x + 5) / 11x(x + 5) =
-8(x + 5) / 11x(x + 5) = (x + 5 cancel each other)
-8 / 11x cannot simplify further
-8x - 40 / 11x(x + 5) = 2x(x + 4) = wrong
-8x - 40 / 11x(x + 5) = -8 / 11x = correct
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