Question

(-m-10)^2=​

Answer 1

(-m - 10)² = (-(m + 10))² = m² + 20m + 100;

Answer 2

To solve the expression (-m - 10)^2, we need to apply the concept of squaring a binomial. The expression (-m - 10)^2 means we square the entire binomial (-m - 10).

The square of a binomial (a + b)^2 can be expanded using the formula:

(a + b)^2 = a^2 + 2ab + b^2

In this case, a = -m and b = -10. Let's plug these values into the formula:

(-m - 10)^2 = (-m)^2 + 2(-m)(-10) + (-10)^2

Now simplify each term:

1. (-m)^2 = m^2 (the square of a negative number becomes positive)
2. 2(-m)(-10) = 20m (a negative multiplied by a negative becomes positive)
3. (-10)^2 = 100 (the square of a negative number becomes positive)

Putting it all together:

(-m - 10)^2 = m^2 + 20m + 100

So, the simplified expression is: m^2 + 20m + 100.