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Why the square of the sum of two numbers is different from the sum of the squares of two numbers?
call the numbers a & b
(a+b)2 = a2+2ab+b2
which is greater than a2 + b2 by twice the product of the numbers.
Check: say 3 and 5
32 + 52 = 9 + 25 = 34
(3 +5)2 = 64, greater by twice a x b. QED
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If a and b are the numbers, then (a+b)2 = a2 + 2ab + b2, which is different from a2 + b2 (not necessarily larger). The two quantities are equal only when one (or both) of a,b is zero.
What else can I help you with?
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.
The sum of the squares of two consecutive odd integers is 34 what are the numbers?
3 and 5
When will the expression the sum of the squares of two numbers'' and the square of the sum of two numbers'' have the same value?
x2 + y2 = (x + y)2 => x2 + y2 = x2 + 2xy + y2 => 2xy = 0 => xy = 0 So, one of x and y must be 0.
The sum of the squares of two consecutive positive even integers is 340Find the integers?
The numbers are 12 and 14.
Explain the square of the sum of two numbers is different from the sum of the squares of two numbers?
split 10 in two parts such that sum of their squares is 52. answer in full formula
Difference between the sum of the squares and the square of the sums of n numbers?
Difference between the sum of the squares and the square of the sums of n numbers?Read more:Difference_between_the_sum_of_the_squares_and_the_square_of_the_sums_of_n_numbers
Two numbers have a sum of 20 if their squares is a minimum find the numbers Complete the square to find the minimum?
Sum of squares? Product?
Is the sum of the squares of two numbers equal to the square of the sum of the numbers?
Not unless at least one of the numbers is zero.
What is the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum?
The sum of the squares of the first 100 natural numbers [1..100] is 338350, while the sum of the first 100 natural numbers squared is 25502500.
What does semblance mean?
For an array of numbers, it is the square of the sums divided by the sum of the squares.
What is the sum of squares in Excel?
It squares numbers and add the totals together. The square of 2 is 4, the square of 5 is 25. The sum of squares of 2 and 5 is therefore 29. That would done in the SUMSQ function like this: =SUMSQ(2,5)
Write algorithm compute sum of square of N numbers?
Oh, what a lovely question! To compute the sum of the squares of N numbers, you can create a simple algorithm. Start by initializing a variable to hold the sum, then loop through each number, square it, and add it to the sum. Once you've done this for all N numbers, you'll have the sum of their squares. Just like painting a happy little tree, take your time and enjoy the process.
What are the 10 2 digit that can be written in a sum of two square numbers?
It is not clear what the question means: there are 31 2-digit numbers that can be expressed as a sum of two squares.
The sum of two positive numbers is 4 and the sum fo their cubes is 28 What is the sum of their squares?
The sum of their squares is 10.
How do you figure the sum of squares?
Square the numbers and then add them together. Example: 62 + 82 = 36 + 64 = 100
Which of the sets of numbers is a Pythagorean Triple?
The one in which the square of the biggest one is equal to the sum of the squares of the other two is.
