Add or subtract, as indicated. 3/(a - 2) - 1/(2 - a)

Question

Accepted Answer

Hey everyone here we are asked to subtract the following and simplify the answer of seven divided by h minus nine minus two, divided by nine minus H. Well taking a look at our given expression here, we see that in order to subtract these two terms, we need to have equal denominators. Well first we can take a look at our denominator of the sec fraction here which is nine minus H. Well if we factor out a negative one from this denominator we can express this expression as negative one times the quantity of h minus nine. And so now we can substitute in this new expression for our denominator of the second fraction. And so our expression our original expression becomes Seven divided by H -9 -2 divided by negative one times the quantity of H -9. And now we can see that we have a negative two in our numerator of the second fraction and we also have a negative one in the denominator of the second fraction. So this entire second fraction becomes positive. So now we can rewrite our expression as seven divided by h minus nine plus two, divided by h minus nine. And now we see that we have common denominators between the two fractions here so we can go ahead and just add together their numerator. So here we we will have seven plus two all divided by h minus nine which simplifies to nine divided by h minus nine. And this is our final simplified answer which is answer choice, A thanks for watching, I hope you found this video helpful and I'll see you again next time.

Add or subtract, as indicated. 3/(a - 2) - 1/(2 - a)

Key Concepts

Understanding Rational Expressions

Recognizing Equivalent Expressions

Adding and Subtracting Rational Expressions

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