Question

Is `a^2+14a+49` a perfect square trinomial, and how do you factor it?

Answer 1

Yes it is a perfect square trinomial.

Factors`color(magenta)(=(a+7)^2`

Explanation:

`a^2+14a+49`

`=a^2+(2xx7xxa)+7^2`

Identity `color(red)(=a^2+2ab+b^2=(a+b)^2`

`color(magenta)(=(a+7)^2`

~Hope this helps! :)