Q4 of 42 Page 136

Let’s find the L.C.M. of the following algebraic expressions:

(p + q) (p + r), (q + r) (r + p), (r + p) (p + q)


Factors of (p + q) (p + r)

=(p + q)×(p + r)


Factors of (q + r)(r + p)


= (q + r)×(r + p)


Factors of (r + p) (p + q)


=(r + p)×(p + q)


LCM is the lowest common multiple, which is the product of all the common factors taken once and the remaining factors as it is.


∴ the LCM of (p + q)(p + r), (q + r)(r + p), (r + p)(p + q) is (p + q)(q + r)(p + r)


More from this chapter

All 42 →
4

Let’s find the L.C.M. of the following algebraic expressions:

p2-q2,(p + q)2


 4

Let’s find the L.C.M. of the following algebraic expressions:

(x2y2-x2);(xy2-2xy + x)


 4 D

Let’s find the L.C.M. of the following algebraic expressions:

ab4-8ab, a2b4 + 8a2b, ab4-4ab2


 4 E

Let’s find the L.C.M. of the following algebraic expressions:

x4 + x2y2 + y4, x3y + y4, (x2-xy)3