The document RD Sharma Solutions for Class 8 Math Chapter 7 - Factorization (Part-1) Class 8 Notes | EduRev is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.

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2

The common literal appearing in the given monomials is x.

The smallest power of x in the two monomials is 2.

The monomial of the common literals with the smallest powers is x

Hence, the greatest common factor is 2x

6

The common literals appearing in the two monomials are x and y.

The smallest power of x in the two monomials is 2.

The smallest power of y in the two monomials is 1.

The monomial of the common literals with the smallest powers is x

Hence, the greatest common factor is 6x

7

The common literal appearing in the three monomials is x.

The smallest power of x in the three monomials is 1.

The monomial of the common literals with the smallest powers is x.

Hence, the greatest common factor is 7x.

42

The common literals appearing in the two monomials are x, y and z.

The smallest power of x in the two monomials is 2.

The smallest power of y in the two monomials is 1.

The smallest power of z in the two monomials is 1.

The monomial of the common literals with the smallest powers is x

Hence, the greatest common factor is 21x

12

The common literals appearing in the three monomials are a and x.

The smallest power of a in the three monomials is 1.

The smallest power of x in the three monomials is 2.

The monomial of common literals with the smallest powers is ax

Hence, the greatest common factor is 2ax

9

The common literal appearing in the three monomials is x.

The smallest power of x in the four monomials is 1.

The monomial of common literals with the smallest powers is x.

Hence, the greatest common factor is 3x.

4

The common literals appearing in the three monomials are a and b.

The smallest power of a in the three monomials is 2.

The smallest power of b in the three monomials is 1.

The monomial of the common literals with the smallest powers is a

Hence, the greatest common factor is 2a

6

The common literals appearing in the three monomials are x and y.

The smallest power of x in the three monomials is 1.

The smallest power of y in the three monomials is 2.

The monomial of common literals with the smallest powers is xy

Hence, the greatest common factor is 3xy

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 a

Hence, the greatest common factor is a

36

The common literals appearing in the three monomials are a and c.

The smallest power of a in the three monomials is 2.

The smallest power of c in the three monomials is 2.

The monomial of common literals with the smallest powers is a

Hence, the greatest common factor is 18a

The smallest power of x in both the monomials is 2.

Hence, the greatest common factor is x

15

The common literal appearing in the three monomials is a.

The smallest power of a in the three monomials is 1.

Hence, the greatest common factor is 15a.

2

The common literals appearing in the three monomials are x and y.

The smallest power of x in the three monomials is 1.

The smallest power of y in the three monomials is 1.

The monomial of common literals with the smallest powers is xy.

Hence, the greatest common factor is 2xy.

14

The common literals appearing in the three monomials are x and y.

The smallest power of x in the three monomials is 2.

The smallest power of y in the three monomials is 2.

The monomial of common literals with the smallest powers is x

Hence, the greatest common factor is 2x

5

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 a

Hence, the greatest common factor is 5a

2

The numerical coefficients of the given monomials are 2, 3 and 4. The greatest common factor of 2, 3 and 4 is 1.

The common literal appearing in the three monomials is y.

The smallest power of y in the three monomials is 1.

The monomial of common literals with the smallest powers is y.

Hence, the greatest common factor is y.

3

The numerical coefficients of the given monomials are 3, 4 and 12. The greatest common factor of 3, 4 and 12 is 1.

The common literal appearing in the three monomials is b.

The smallest power of b in the three monomials is 2.

The monomial of common literals with the smallest powers is b

Hence, the greatest common factor is b