Question

(m-3t)(m+3t)-2 вквадраті

Answer 1

Здесь формула разности квадратов

Answer 2

=m^2 - 9t^2 - 4
...........................

Answer 3

To simplify the expression, let's first expand the square term (m+3t)^2:

(m + 3t)^2 = (m + 3t)(m + 3t) = mm + m3t + 3tm + 3t3t = m^2 + 3mt + 3mt + 9t^2 = m^2 + 6mt + 9t^2

Now, we can substitute this into the original expression: (m - 3t)(m + 3t) - 2(m + 3t)^2

= (m - 3t)(m + 3t) - 2(m^2 + 6mt + 9t^2)

Now, let's multiply the terms:

(m - 3t)(m + 3t) = m^2 + 3mt - 3mt - 9t^2 = m^2 - 9t^2

So the expression becomes:

= m^2 - 9t^2 - 2(m^2 + 6mt + 9t^2)

Now, distribute the -2:

= m^2 - 9t^2 - 2m^2 - 12mt - 18t^2

Now, combine like terms:

= (m^2 - 2m^2) + (-9t^2 - 18t^2) - 12mt

= -m^2 - 27t^2 - 12mt

The simplified expression is: -m^2 - 27t^2 - 12mt