Write each rational expression in lowest terms. See Example 2....

Question

Write each rational expression in lowest terms. See Example 2. (8k + 16) / (9k + 18)

Accepted Answer

Hey, everyone here we are asked to reduce the following rational expression to the lowest terms. Here we are given 11 T plus all divided by six T plus 18. Here we have four answer choice options, answer choice. A one divided by the quantity of T plus three where T cannot be equal to negative three answer bt plus three, where T cannot be equal to negative three answer C 11 divided by 18 answer D 11 divided by six to reduce our given rational expression. We first want to factor the numerator and the denominator to see if there are any expressions that we can simplify. So starting in our numerator, we again have 11 T plus 33. Here we see that both terms share the value of 11. So we can factor out that value. And so this gives us 11 multiplied by the quantity of T plus three. And then in the denominator, we can recall that we had six T plus 18. Here we see that both terms share the value of six of which we can factor out. So in the denominator, we have six multiplied by the quantity of T plus three. And now we see with our factored expression that we have T plus three in the numerator as well as the denominator of the expression. And so both of these T plus three expressions cancel out. And so we are left with our final reduced expression, which is just 11 divided by six. And now we see there are no further simplifications that we can make. So this is our final reduced form which leaves us with answer choice D where again, our reduced expression is 11 divided by six. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Write each rational expression in lowest terms. See Example 2. (8k + 16) / (9k + 18)

Key Concepts

Factoring Polynomials

Simplifying Rational Expressions

Greatest Common Factor (GCF)

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