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Factorization by grouping method

Grouping method: split the terms of the polynomial into groups so that each group has a common factor. After that, a common binomial (or polynomial) appears and can be factored out a second time.
First choose a sensible grouping of terms
Factor out a common factor from each group
Factor out the common expression again
Group terms so that a common binomial appears.
Grouping method
ax+ay+bx+byax+ay+bx+by
=(a+b)(x+y)=(a+b)(x+y)
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