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Maharashtra State BoardSSC (English Medium) 7th Standard

Factorise: 365y4z3 – 146y2z4 - Mathematics

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Question

Factorise: 

365y4z3 – 146y2z

Sum

Solution

The coefficients are 365 and 146. Their GCF is 73.

The variables have the following powers:

  • y4 and y2: the smallest power is y2,
  • z3 and z4: the smallest power is z3.

Thus, the GCF is: 73y2z3

365y4z3 – 146y2z4 

= 73y2z3(5y2)−73y2z3(2z)

= 73y2z3(5y2−2z)

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Chapter 17: Miscellaneous Problems : Set 2 - Exercise [Page 100]

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Balbharati Mathematics [English] 7 Standard Maharashtra State Board
Chapter 17 Miscellaneous Problems : Set 2
Exercise | Q 11 | Page 100

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