prove that
a cude+ b cude = (a+b) (a²+b²- ab)
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Finally, Last means we multiply the last terms of each expression, which are b and −b , so their product is −b2 .
Now, we can finally put everything together;
(a+b)(a−b)
=a2−ab+ba+(−b2)
=a2−ab+ab−b2
=a2−b2
Therefore, by expanding and simplifying, we have shown that
a2−b2=(a+b)(a−b) .
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