0
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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What is the sum of all positive integers less than 100 that are squares of perfect squares?
The only squares of perfect squares in that range are 1, 16, and 81.
How do you tell if a polynomial cannot be factored?
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.
What is the larger number The sum of two numbers is 8 and the sum of their squares is 34?
5
Which is bigger the sum of the squares of 3 and 5 or the square of the sum of 3 and 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.
What is the difference of two is an expression that conatins two perfect squares with one subtracted from the other?
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)
