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Find the Greatest Common Factor (Gcf/Hcf) of the Following Polynomial: A2b3, A3b2 - Mathematics

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Question

Find the greatest common factor (GCF/HCF) of the following polynomial:
a2b3, a3b2

Sum

Solution

The common literals appearing in the three monomials are a and b. 
The smallest power of x in the two monomials is 2.
The smallest power of y in the two monomials is 2.
The monomial of common literals with the smallest powers is a2b2.
​Hence, the greatest common factor is a2b2.

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Chapter 7: Factorization - Exercise 7.1 [Page 4]

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RD Sharma Mathematics [English] Class 8
Chapter 7 Factorization
Exercise 7.1 | Q 9 | Page 4

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