Question

Factorise 27a^3 +125b^3
-c^3 +45abc.

Answer 1

Answer:

Total number of students in class =60

Students who like music =X+Y=45

Students who like dancing =Y+Z=50

Students who like nothing =5

Students who like both music and dancing =Y

We know that X+Y+Z+5=60

⇒45+Z+5=60

⇒Z=10

⇒Y=40

Hence, 40 students like both music and dancing.