How to use the SUMX2MY2 function
What is the SUMX2MY2 function?
The SUMX2MY2 function calculates the sum of the difference of squares of corresponding values in two arrays.
What is the square?
In mathematics, the square of a number is the result of multiplying the number by itself. Squaring a number is denoted by x2. For example, 52 means 5 * 5 = 25.
Squaring a number results in a positive result as negative signs are removed in multiplication. (-5)2 = 25 Squares grow very rapidly. Already x2 reaches large values quickly as x increases, higher powers grow even faster.
The square root is the inverse operation of squaring. √25 = 5, since squaring 5 gives 25. Squaring is used in geometry to calculate area of squares, side length squared = area. Squaring is also used when calculating the area of a circle.
For example, A = π r²
A is the area.
r is the radius.
Ï€ is pi.
The graph of y = x2 is a parabola, symmetric about the origin.
Squares appear frequently in equations in physics, math, statistics, and other fields.
What is the difference of squares?
The difference of squares is an algebraic identity that relates the difference between two squared terms to the product of the sum and difference of those terms.
a² - b² = (a + b)(a - b)
Where a and b are numbers.
(a + b)(a - b) equals a² - ab +ba + b² which is a² - b²
For example:
x² - 16 = (x + 4)(x - 4)
The difference of squares formula is useful for factoring expressions and simplifying equations involving squared terms. It reveals the hidden factors in the difference of squares.
What is the sum of the difference of squares?
SUMX2MY2 function calculates the sum of x² minus y². The arrays x an y must be equal in size.
SUMX2MY2(array1, array2) = ∑(x² - y²)
Excel Function Syntax
SUMX2MY2(array_x, array_y)
Arguments
| array_x | Required. The first array or range of values. |
| array_y | Required. The second array or range of values. |
SUMX2MY2 function example
Formula in cell F3:
The first array array_x i 4, 3, and 4, the second array contains 2, 3, and 4.
The sum of the difference of squares
4² - 2² = 16 - 4 = 12
3² - 3² = 0
4² - 4² = 0
The sum is 12 + 0 + 0 equals 12.
Functions in 'Math and trigonometry' category
The SUMX2MY2 function function is one of 73 functions in the 'Math and trigonometry' category.
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