Question

25m^2-(5m-7)(5m-7) упростить​

Answer 1

25m^2-(5m-7)(5 m + 7) = 25 m^2 - (25 m^2 - 49) = 25m^2 - 25 m^2 + 49 = 49.

Answer 2

To simplify the expression, let's start by expanding the square of the binomial (5m - 7)(5m - 7) using the FOIL method (First, Outer, Inner, Last):

(5m - 7)(5m - 7) = 5m * 5m + 5m * (-7) + (-7) * 5m + (-7) * (-7) = 25m^2 - 35m + (-35m) + 49 = 25m^2 - 70m + 49

Now we can substitute this expression back into the original equation:

25m^2 - (5m - 7)(5m - 7) = 25m^2 - (25m^2 - 70m + 49)

When we distribute the negative sign inside the parentheses, it changes the signs of all the terms within the parentheses:

25m^2 - (25m^2 - 70m + 49) = 25m^2 - 25m^2 + 70m - 49

The first two terms, 25m^2 and -25m^2, cancel each other out:

25m^2 - 25m^2 + 70m - 49 = 70m - 49

Therefore, the simplified expression is 70m - 49.