Simplify the following expression.

8x^2-10x-3/2x-3

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1 answer

To simplify the expression 8x^2 - 10x - 3 / 2x - 3, we first factor the numerator:

8x^2 - 10x - 3 = (8x + 1)(x - 3)

Therefore, the expression becomes:

(8x + 1)(x - 3) / 2x - 3

Next, we factor the denominator:

2x - 3 = 2(x - 3)

Now, the expression simplifies to:

(8x + 1)(x - 3) / 2(x - 3)

We can then cancel out the common factor of (x - 3) in the numerator and denominator:

(8x + 1) / 2

So, the simplified expression is 8x + 1 / 2
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