1 answer

How do you factor #9t^2+42t+49#?

Question:

How do you factor #9t^2+42t+49#?

Answers

#9t^2+42t+49 = (3t+7)^2#

Explanation:

This is a perfect square trinomial.

Notice that #9t^2 = (3t)^2# and #49 = 7^2# are both perfect squares, so it remains to check whether the middle term is correct:

#(3t+7)^2 = (3t)^2+2(3t)(7)+7^2 = 9t^2+42t+49#

.

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