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Factors of a2 – b2 + 2bc – c2 are

Question

Factors of a2 – b2 + 2bc – c2 are

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Solution

The given expression is a^2 - b^2 + 2bc - c^2.

This can be rewritten as (a^2 - c^2) + (2bc - b^2).

Now, we can use the formula a^2 - b^2 = (a - b)(a + b) and rewrite the expression as:

(a - c)(a + c) + b(2c - b).

So, the factors of the given expression a^2 - b^2 + 2bc - c^2 are (a - c), (a + c), and b.

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