Question

If (2 + p) and 100 – 25p² are two expression, then their L.C.M. will be

(A) 100 – 25p²

(B) 2 + p

(C) 98 – 25p²

(D) (100 – 25p²) (2 + p)

Answer 1

Answer is (A) 100 – 25p²

First expression = (2 + p)

and other expression = 100 – 25p²

= (10 – 5p) (10 + 5p)

= 5(2 – p) × 5(2 + p)

= 25(2 – p) (2 + p)

Thus L.C.M. of two expression = 100 – p²