0 reads0 ratings0 helpful
What is the simplified form of (\frac{x^{-3}-y^{-3}}{x^{-1}-y^{-1}}), where (x\neq0), (y\neq0), and (x\neq y)?
Advertisement
Answer and explanation
Correct answer: (\frac{x^{2}+xy+y^{2}}{x^{2}y^{2}})
The numerator is (\frac{y^{3}-x^{3}}{x^{3}y^{3}}), and the denominator is (\frac{y-x}{xy}). Division gives (\frac{x^{2}+xy+y^{2}}{x^{2}y^{2}}).
Frequently asked questions
What is the correct answer to this question?
(\frac{x^{2}+xy+y^{2}}{x^{2}y^{2}})
Why is this the correct answer?
The numerator is (\frac{y^{3}-x^{3}}{x^{3}y^{3}}), and the denominator is (\frac{y-x}{xy}). Division gives (\frac{x^{2}+xy+y^{2}}{x^{2}y^{2}}).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement