Question

Factorize:

A) C³ + C² = (C)(C² + 1)
B) C³ + C² = (C + 1)(C²)
C) C³ + C² = C²(C + 1)
D) C³ + C² = C(C² + 1)

Answer 1

The expression C³ + C² factorizes to C²(C + 1), as C² is the common factor between the two terms. Hence, answer option C) is correct.

Step-by-step explanation:

To factorize the expression C³ + C², we want to find common factors that we can take out. In this case, the common factor is C². We can factor out C² from both terms, giving us:

C³ + C² = C²(C + 1)

This is because each term in the original expression has at least a power of 2 of C, which allows us to factor it out. Thus, the expression C³ + C² factorizes to C²(C + 1), matching answer C).