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Factorize each of the following expressions: ax + ay − bx − by - Mathematics

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Question

Factorize each of the following expressions:
ax + ay − bx − by

Sum

Solution

\[ax + ay - bx - by\]
\[ = (ax + ay) - (bx + by) [\text{ Grouping the expressions }]\]
\[ = a(x + y) - b(x + y)\]
\[ = (a - b)(x + y) [\text{ Taking }(x + y)\text{ as the common factor }]\]

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Chapter 7: Factorization - Exercise 7.4 [Page 12]

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RD Sharma Mathematics [English] Class 8
Chapter 7 Factorization
Exercise 7.4 | Q 4 | Page 12

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