Step-by-step explanation:
We can factor the numerator using the difference of squares formula:
a^2 - b^2 = (a + b)(a - b)
So we have:
(a^2 - b^2)/(3a + 3b) = [(a + b)(a - b)]/(3(a + b))
Now we can cancel out the common factor of (a + b):
[(a + b)(a - b)]/(3(a + b)) = (a - b)/3
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Step-by-step explanation:
We can factor the numerator using the difference of squares formula:
a^2 - b^2 = (a + b)(a - b)
So we have:
(a^2 - b^2)/(3a + 3b) = [(a + b)(a - b)]/(3(a + b))
Now we can cancel out the common factor of (a + b):
[(a + b)(a - b)]/(3(a + b)) = (a - b)/3
Therefore, the simplified expression is (a - b)/3.
Verified answer
[tex]Formula \: used : \\ \\ {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
[tex] = \frac{ {a}^{2} - {b}^{2} }{(3a + 3b)} \\ \\ = \frac{(a + b)(a - b)}{3a + 3b} [/tex]