Question

(2m-5)^2 in standard form

Answer 1

To expand the expression \((2m-5)^2\) and write it in standard form, we can use the formula for the square of a binomial: \((a-b)^2 = a^2 - 2ab + b^2\).

Here, \(a = 2m\) and \(b = 5\).

Now we can expand:

\[
(2m-5)^2 = (2m)^2 - 2(2m)(5) + 5^2
\]

Calculating each term:

1. \((2m)^2 = 4m^2\)
2. \(-2(2m)(5) = -20m\)
3. \(5^2 = 25\)

Putting it all together, we have:

\[
(2m-5)^2 = 4m^2 - 20m + 25
\]

So, in standard form, the expression is:

\[
\boxed{4m^2 - 20m + 25}
\]