Answer:
(-2,-6) (6,2)
Step-by-step explanation:
4/9x+1/5x=87 what is x
2 answers:
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The simplified rational expression is (y - 3)/(y + 3). Where y ≠ -3.
<h3>How to simplify a rational expression?</h3>A rational expression is in the p/q form. Where p and q are polynomial functions.
To simplify this rational equation,
- Factorize the polynomials in both numerator and denomiantor.
- Cancel out common factors if any.
- If the denominator and the numerator have no common factors except 1, then that is said to be the simplest form of the given rational expression.
The given rational equation is
Factorizing the expression in the numerator:
y² - 12y + 27 = y² - 9y - 3y + 27
⇒ y(y - 9) - 3(y - 9)
⇒ (y - 3)(y - 9)
Factorizing the expression in the denominator:
y² - 6y - 27 = y² - 9y + 3y - 27
⇒ y(y - 9) + 3(y - 9)
⇒ (y + 3)(y - 9)
Since they have (y - 9) as the common factor, we can simplify,
⇒ (y - 3)/(y + 3) where y ≠ -3(denomiantor)
Here there are no more common factors except 1; this is the simplest form of the given rational expression.
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The simplified expression by rationalizing the denominator is (C)
.
First we must simplify the expression:
Then we factor the rational parts and cancel it out:
Then we rationalize the expression:
<span>Finally, the simplified expression by rationalizing the denominator is (C).</span>
First we must simplify the expression:
Then we factor the rational parts and cancel it out:
Then we rationalize the expression:
<span>Finally, the simplified expression by rationalizing the denominator is (C)