SOLUTION: What is (4x+3)² as a simplified trinomial

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Question 1011691: What is (4x+3)² as a simplified trinomial
Found 3 solutions by MathLover1, ikleyn, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%284x%2B3%29%5E2 as a simplified trinomial
%284x%29%5E2%2B4x%2A3%2B%283%29%5E2

16x%5E2%2B12x%2B9

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is (4x+3)² as a simplified trinomial?
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There is this formula

%28a+%2B+b%29%5E2 = a%5E2+%2B+2ab+%2B+c%5E2.

All students who study Algebra must know it.
It is simply to get by performing multiplication %28a+%2B+b%29%5E2 = (a+b)*(a+b).

Having this,

%284x%2B3%29%5E2 = 16%2Ax%5E2+%2B+24x+%2B+9.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

What is (4x+3)² as a simplified trinomial
FOIL the binomials:

%284x+%2B+3%29%5E2

(4x + 3)(4x + 3)

F: 4x(4x): 16x%5E2

O: 3(4x) =  12x

I: 3(4x) =  12x

L: 3(3) =    9

Putting it all together results in: highlight_green%2816x%5E2+%2B+24x+%2B+9%29