Question

(m-2)(m-6)-(m-4)^2 (упрастите)

Answer 1

M^2 - 6m -2m -8-(m + 4)^2 = m^2 -6m -2m -8-m^2-8m + 16= -16m + 16= m

Answer 2

Let's start by expanding the squared term using the formula:

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

Expanding (m-4)^2, we get:

(m-4)^2 = m^2 - 8m + 16

Now, substituting this in the original expression and simplifying, we get:

(m-2)(m-6) - (m-4)^2 = (m^2 - 8m + 12) - (m^2 - 8m + 16) [Distributing the negative sign] = m^2 - 8m + 12 - m^2 + 8m - 16 [Simplifying the expression] = -4

Therefore, the simplified expression is -4.