Question

Factor the trinomial completely t^2 + (2/9)t + (1/81)

Answer 1

https://i.gyazo.com/1d8afaf86869e06b42dd9480f43180b5.png

Answer 2

(t + 1/9)^2

Answer 3

how did you do that?

Answer 4

See the middle term 2 * 1/9 * t

the first term is just the t^2
the last term is the (1/9)^2

that's on the form

a^2 + 2ab + b^2 = (a+b)^2

Answer 5

where does the 2 go in 2 * 1/9 * t?
how did you plug it into that formula?

Answer 6

We have
2ab = 2/9 t

ab = 1/9 t

a = t
b = 1/9

The same as the product we found

so we can apply the formula

a^2 + 2ab + b^2 = (a+b)^2 = (t + 1/9)^2

Answer 7

thank you!

Answer 8

Any time.

Answer 9

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