Question

यदि x = a – b और y = b –c हो, तो दिखाइए कि
(a – c) (a + c – 2b) = x² – y²

Answer 1

Answer:

x^2 = a^2+b^2-2ab and y^2=b^2+c^2-2bc

x^2-y^2=a^2+b^2-2ab-b^2-c/2+2bc

= a^2-c^2-2ab+2bc

=(a+c)(a-c)-2ab(a-c)

=(a-c)(a+c-2b)