Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
Advertisement Remove all ads

Find the least common multiple of xy(k2 + 1) + k(x2 + y2) and xy(k2 – 1) + k(x2 – y2) - Mathematics

Sum

Find the least common multiple of xy(k2 + 1) + k(x2 + y2) and xy(k2 – 1) + k(x2 – y2)

Advertisement Remove all ads

Solution

xy(k2 + 1) + k(x2 + y2)  ...(1)

xy(k2 – 1) + k(x2 – y2)  ...(2)

(1) ⇒ xyk2 + xy + kx2 + ky2

(2) ⇒ xyk2 – xy + kx2 – ky2

(1) ⇒ yk (xk + y) + x (xk + y)

= (xk + y) (x + yk)

(2) ⇒ yk (xk – y) + x (xk – y)

= (x + yk) (xk – y)

∴ L.C.M. : (x + yk) (xk + y) (xk – y)

= (x + yk) (x2k2 – y2)

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 3 Algebra
Unit Exercise – 3 | Q 4 | Page 157
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×