Question

Guoliate)
सरल गर्नुहोस् (Simplify)
95
If H is the HCF and L the L.C.M of
two
quantaties P and Q and if L+M=P+Q
then prove that L3 m3 =p3 +Q3​

Answer 1

(L+M)=(P+Q)

find the cube of both sides

(L+M)³=(P+Q)³

L³+M³+3LM(L+M)=P³+Q³+3PQ(P+Q)

We know that L+M=P+Q and LM=PQ

So,

L³+M³+3LM(L+M)=P³+Q³+3LM(L+M)

L³+M³=P³+Q³

Hence Proved.