Question

यदि (x-y) = 6 और (xy = 1), तो (x^3-y^3) का मान ज्ञात कीजिए।​

Answer 1

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.

:)

Answer 2

Answer:

234 is your correct answer.