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)
What are the kinds of factor?
factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.
Can 8081 be the sum of two perfect squares?
8081 can be the sum of two perfect squares because its perfect squares are 41 x41+80x80=1681+6400. Answer=1681+6400
When factoring a difference of two and 8203 squares the final answer will be in what and 8203 form?
Their sum and their difference.
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.
Can 2819 be expressed by the sum of 2 perfect squares?
no
What are two perfect squares that have the sum of 100?
64 and 36.
How can you two perfect squares for a given integer?
The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.
What is the sum of all perfect squares from 50 to 2500?
Including 2500, it's 42,785.
What is the sum of all the perfect squares between 5 and 30?
9+16+25= 50
What is the smallest prime number which is the sum of two distinct positive perfect squares?
5
How do you simplify an expression that has several terms?
There are several things you can do to simplify expressions. Specifically for expressions with several terms, two things you can do is to combine similar terms (terms that have the same combination of variables), and then (usually after combining), see if you can apply one of the common methods of factoring, such as looking for common factors, looking for a perfect cube, factoring the difference of squares, the sum or difference of cubes, etc.
What number is a perfect square and the sum of 2 perfect squares?
25 = 9 + 16 There are many more sets like these. This one has the smallest numbers.
