Question

Question #b4c6a

Answer 1

`m^2+22m+121`
`25s^2+10s+4`
`9m^2+42m+49`
`16p^2-40p+25`
`49a^2-84a+36`

Explanation:

The general formula for `(ax+b)^2` is `(ax)^2+2abx + b^2`

For example, for `(m+11)^2`, we will get `(1m)^2+2(1*11*m) + 11^2`. This just cancels to form `m^2+22m+121`.

Howeber, for something like `(5s+2)^2` we will get `(5s)^2+2(5*4*s)+2^2`. This can be rewritten as `(5^2*s^2)+2(20s)+4`, which becomes `25s^2+40s+4`.

If your equation is in the form `(b+ax)^2`, rearrange to form `(ax+b)^2`.