Advertisements
Advertisements
Question
Find the greatest common factor of the terms in each of the following expression:
5a4 + 10a3 − 15a2
Solution
Terms are expressions separated by plus or minus signs. Here, the terms are 5a4, 10a3 and 15a2.
The numerical coefficients of the given monomials are 5, 10 and 15. The greatest common factor of 5, 10 and 15 is 5.
The common literal appearing in the three monomials is a.
The smallest power of a in the three monomials is 2.
The monomial of common literals with the smallest powers is a2.
Hence, the greatest common factor is 5a2.
APPEARS IN
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)
Factorize each of the following algebraic expressions:
9a(6a − 5b) −12a2(6a − 5b)
Factorize each of the following algebraic expressions:
5(x − 2y)2 + 3(x − 2y)
Factorize each of the following algebraic expressions:
a2(x + y) +b2(x + y) +c2(x + y)
Factorize each of the following algebraic expression:
9a2 − 24ab + 16b2
Factorize each of the following algebraic expression:
9a4 − 24a2b2 + 16b4 − 256
Factorize each of the following algebraic expression:
a2 − 8ab + 16b2 − 25c2
Factorize each of the following algebraic expression:
40 + 3x − x2
Factorize each of the following algebraic expression:
(a + 7)(a − 10) + 16
Factorise the following expression.
p2 − q2
