Simplify the product of the binomial
(5t + 4)^2
F.O.I.L ... multiplying two binomials (or squaring one)
(a+b)^2 = a^2 + 2ab + b^2
You have
a=5t
b=4
To simplify the product of the binomial (5t + 4)^2, we need to use the formula for squaring a binomial:
(a + b)^2 = a^2 + 2ab + b^2
In this case, a = 5t and b = 4. Substituting these values into the formula, we get:
(5t + 4)^2 = (5t)^2 + 2(5t)(4) + (4)^2
= 25t^2 + 40t + 16
Therefore, the simplified version of (5t + 4)^2 is 25t^2 + 40t + 16.