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Trinomial Square: the square of a binomial
Steps to help recognize a trinomial square:
1. Two of the terms must be squares ( A & B )
2. There must be no minus sign before those two terms.
3. If you multiply the square root of the two terms and double the result, you will get the third term. ( 2 AB )
Examples:
x + 8 x + 16
16 a - 56 ab + 49 b
Factoring trinomials squares:
A + 2 AB + B = (A + B)
A - 2 AB + B = (A - B)
x + 4 x + 4 = ( x + 2 )
x - 14 x + 49 = (x - 7 )
16 a - 40 ab + 25 b = (4 a - 5 b)
27 m + 72 mn + 48 n = 3 ( 9 m + 24 mn + 12 n ) = 3 ( 3 m + 4 n )
& B