How do you multiply #(5t+9)^2#?

2 Answers
Dec 15, 2015

Answer:

#25t^2 + 90t + 81#

Explanation:

Write out the problem:
#(5t+9)(5t+9)#
Multiply each term by each other
# (5t * 5t) + (5t * 9) + (9 * 5t) + (9*9)#
#25t^2 + 45t + 45t + 81#
Combine like terms:
#25t^2 + 90t + 81 = (5t+9)^2#

Dec 15, 2015

Answer:

#25t^2 + 90t + 81#

Explanation:

To square a binomial, use this formula:

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

In this scenario:

#(5t+9)^2 = (5t)^2 + 2(5t)(9) + (9)^2 = 25t^2 + 90t + 81#