1)) Simplify.Write your answer using whole numbers and variables. (k^2-8k+15)/(k-3) square

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Answer 1

To simplify the expression

, we need to factor the numerator and then simplify the fraction.First, let's factor the quadratic expression in the numerator:

We need to find two numbers that multiply to 15 and add up to -8. These numbers are -3 and -5 because:

So, we can factor the quadratic as:

Now, substitute this factored form back into the original expression:

Next, we can cancel the common factor \((k - 3)\) in the numerator and the denominator:

Therefore, the simplified form of the given expression is:

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