1. ab + ac
We can take out the common factor of a to get:
ab + ac = a(b + c)
2. a2 + 2ab + b2
This expression represents the square of the binomial (a + b) so we can write it as:
a2 + 2ab + b2 = (a + b)2
3. a2 + b2
This expression cannot be factored any further using just real numbers. It is, however, the sum of two perfect squares and can be written as:
a2 + b2 = (a + b)(a – b)
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