for example
x2- 16 factors out to be (x+4)(x-4)
x2- 25= (x+5)(x-5)
x2 - 36= (x+6)(x-6)
its as easy as that, but it doesnt work if the problem is like x2 + 36... it has to be minus-thats why there are only two terms, because if you foil it out, it canceles out the middle term
hopefully that made sense
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The only squares of perfect squares in that range are 1, 16, and 81.
Try all the factoring techniques that you have been taught. If none work then it is prime (cannot be factored), try looking for (1) a greatest common factor (2) special binomials ... difference of squares, difference (or sum) of cubes (3) trinomal factoring techniques (4) other polymonials look for grouping techniques.
5
sum of squares: 32 + 52 = 9 + 25 = 34 square of sum (3 + 5)2 = 82 = 64 This is a version of the Cauchy-Schwarz inequality.
The difference of two squares is equivalent to the sum, times the difference, of the numbers that are squared. In symbols: a2 - b2 = (a + b)(a - b) Here is an example with numbers: 102 - 92 = (10+9)(10-9)