Question

(a-c)(b-c)+(a+c)(b+c)еслиab+c2=13

Answer 1

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Answer 2

To simplify the expression (a - c)(b - c) + (a + c)(b + c) given that ab + c^2 = 13, let's expand and simplify the expression step by step:

First, let's expand the expression: (a - c)(b - c) + (a + c)(b + c) = ab - ac - bc + c^2 + ab + ac + bc + c^2

Now, let's simplify the expression: ab - ac - bc + c^2 + ab + ac + bc + c^2 = 2ab + 2c^2

Now, we need to substitute the value of ab + c^2 = 13 into the expression: 2ab + 2c^2 = 2(13) + 2c^2 = 26 + 2c^2

Therefore, the simplified expression is 26 + 2c^2.