Simplify the following expression.
8x^2-10x-3/2x-3
Show your work/thinking using the sketchpad.
Write your answers using only positive exponents in the box below.
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