यदि (x-y) = 6 और (xy = 1), तो (x^3-y^3) का मान ज्ञात कीजिए।
Answers
Answered by
4
Step-by-step explanation:
प्रश्न:- यदि (x-y) = 6 और (xy = 1), तो (x^3-y^3) का मान ज्ञात कीजिए।
हल:- x^3 - y^3
= (x - y)(x^2 + xy + y^2) ________(i)
तथा (x - y)^2 = 6^2
➜ ( x^2 + y^2 - 2xy) = 36
➜ x^2 + y^2 = 36 + 2xy ___________(ii)
समीकरण (i) में मान रखने पर,
∴ (x^3 - y^3) = 6(36 + xy + 2xy)
= 6(36 + 1 + 2)
= 6 × 39
= 234 Ans.
:)
Answered by
3
Answer:
234 is your correct answer.
Similar questions