x^(2) - 36 =
x^(2) - 6^(2)
Remember two squared terms , as above, with a NEGATIVE between them can factor to
(x - 6)(x + 6)
NB
#1 ; The different signs in the brackets.
#2, Two squared terms with a POSITIVE (+) between them, does NOT factor.
#3 ; Inspect the constant, to see if it is a squared number ; 36 = 6^(2) in this case.
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x2 + 4x + 3 = (x + 1)(x + 3)
Dividend: x3+4x2-9x-36 Divisor: x+3 Quotient: x2+x-12
x2-12x+36 = (x-6)2
if x2 + 7 = 37, then x2 = 29 and x = ±√29
The question is ambiguous and two possible answers are given below: 2x2 - x2 = x2 or (2x)2 - x2 = 4x2 - x2 = 3x2