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If x is different from -2, then
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08 Apr 2023, 10:13
08 Apr 2023, 10:13
Expert Reply
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Question Stats:
100% (00:59) correct
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If x is different from -2, then \(\frac{4x^2+5x-6}{x+2}=\)
4x + 8
4x – 3
4x – 2
2x + 1
3x + 4
4x + 8
4x – 3
4x – 2
2x + 1
3x + 4
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: If x is different from -2, then
[#permalink]
15 Apr 2023, 20:59
15 Apr 2023, 20:59
1
Expert Reply
The given expression is:
(4x^2 + 5x - 6) / (x + 2)
To simplify this expression, we can factor the numerator and see if any common factors can be cancelled out with the denominator.
The numerator is a quadratic expression that can be factored as follows:
4x^2 + 5x - 6 = (4x - 3)(x + 2)
So the expression becomes:
[(4x - 3)(x + 2)] / (x + 2)
Now we can see that the common factor of (x + 2) in the numerator and denominator can be cancelled out, because the original condition given was "x is not equal to -2". So we are left with:
4x - 3
So the simplified form of the expression, when x is not equal to -2, is 4x - 3.
(4x^2 + 5x - 6) / (x + 2)
To simplify this expression, we can factor the numerator and see if any common factors can be cancelled out with the denominator.
The numerator is a quadratic expression that can be factored as follows:
4x^2 + 5x - 6 = (4x - 3)(x + 2)
So the expression becomes:
[(4x - 3)(x + 2)] / (x + 2)
Now we can see that the common factor of (x + 2) in the numerator and denominator can be cancelled out, because the original condition given was "x is not equal to -2". So we are left with:
4x - 3
So the simplified form of the expression, when x is not equal to -2, is 4x - 3.
gmatclubot
Re: If x is different from -2, then [#permalink]
15 Apr 2023, 20:59
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