Determine if t^(2) + 20t + 100 is a perfect square trinomial and factor.

Question

Determine if
`t^(2)` + 20t + 100 is a perfect square trinomial and factor.

Answer 1

Hey! Nice question u got there☺

t^2+20t+100 can also be written as (t)^2+2×t×10+ (10)^2
formula used-->(a+b)^2=a^2+2ab+b^2

by this formula, (t)^2+2×t×10+ (10)^2=(t+10)^2
It's factors are (t+10)(t+10)
and it is a perfect square trinomial.


HOPE IT HELPED :D

Answer 2

t² + 20t + 100 =
t² + 2*10*t + 10² =
(t+10)²