✓ Board-verified
Mathematics · 2025 · 1 mark
CBSE 2025 · Region 4 · Set 1 · Q1
If x=a b^3 and y=a^3 b, where a and b are prime numbers, then [ HCF (x, y)- LCM (x, y)] is equal to:
If $\displaystyle x=a b^{3}$ and $\displaystyle y=a^{3} b$, where $\displaystyle a$ and $\displaystyle b$ are prime numbers, then $\displaystyle [\operatorname{HCF}(x, y)-\operatorname{LCM}(x, y)]$ is equal to :
Official answer
(D)
$\displaystyle a b(1-a b)(1+a b)$
More from Real Numbers
- The quadratic equation x^2+x+1=0 has roots.2024
- Find the greatest 3-digit number which is divisible by 18, 24 and 36.2023
- Prove that √3 is an irrational number.2023
- The roots of the quadratic equation 4 x^2-5 x+4=0 are2024
- Three sets of Physics, Chemistry and Mathematics books have to be stacked in such a way that all the books are stored subject-wise and the height of…2025
- Prove that √5 is an irrational number.2023
- (1+√3)^2-(1-√3)^2 is:2025
- The probability for a randomly selected number out of 1,2,3,4, …, 25 to be a composite number is:2026
CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.