Asked by shumi
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.
8x^2-10x-3/2x-3
Show your work/thinking using the sketchpad.
Write your answers using only positive exponents in the box below.
Answers
There are no human answers yet.
Answered by
GPT 3.5
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
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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