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Simplify the expression. 4x squared +10x - 6 divided by 2x - 1
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Simplify the expression. 4x squared +10x - 6 divided by 2x - 1

User DShook
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\frac{4 {x}^(2) + 10x - 6}{2x - 1}
Simplify the expression. 4x squared +10x - 6 divided by 2x - 1-example-1
User Salem Binmusaed
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6 votes
The given expression is:


(4 x^(2) +10x-6)/(2x-1)

In order to simplify the expression we need to factorize the numerator, as shown below:


(4 x^(2) +12x-2x-6)/(2x-1) \\ \\ = (4x(x+3)-2(x+3))/(2x-1) \\ \\ = ((4x-2)(x+3))/(2x-1) \\ \\ = (2(2x-1)(x+3))/(2x-1) \\ \\ =2(x+3)

Thus, the simplified form of the expression is 2(x+3)
User Atinesh
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