X squared plus y squared

The sum of two squares cannot be factored.

Detailed description. We will discuss this further in the section Domains and ranges. There are many naturally occurring formulas whose graphs are not the graphs of functions. For example:. The first graph is a circle, the second is an ellipse, the third is two straight lines, and the fourth is a hyperbola. So these are not graphs of functions. It turns out that the most useful concept to help describe and understand this issue is very general.

X squared plus y squared

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The first graph is a circle, the second is an ellipse, the third is two straight lines, and the fourth is a hyperbola. How do you factor 3xy plus 3y squared? Indeed, the graph of any function is a relation.

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Wiki User. It is a quadratic expression in the variables x and y. Your expression is this Log in. Study now See answer 1. Best Answer.

X squared plus y squared

While it looks like you can just cancel out the squares with the square root, this only works if you have one square within the radical. Since we're adding two together, it's slightly different. The way that this expression CAN be simplified is by using polar coordinates, which are found in pre-calculus and above. Therefore, if we assume that the x and y this problem is using are the horizontal and vertical directions on a coordinate plane, we could technically rewrite our expression as:. Remember, this is probably NOT what your teacher is looking for, unless you're in pre-calculus or above. I would just stick with the original answer that the expression cannot be simplified. John D. Jan 25,

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Wiki User. What are the Factors of x squared plus y squared? What is x squared plus 2xy plus y squared? Factor 3x squared plus 6xy plus 3y squared? What is the square root of x squared plus y squared? How do you factor x cubed plus 3xsquaredy plus 3xy squared plus y cubed? For example:. At what point is the line of y equals x -4 tangent to the curve of x squared plus y squared equals 8? Thus the four graphs above and the graphs of the six example functions are all relations on the real numbers. Still have questions?

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What is x squared plus 2xy plus y squared? Continue Learning about Algebra. How do you factor x squared minus 2 x y plus y squared? For example:. When is x squared plus y squared equal to quantity X plus Y squared? What is the square root of x squared plus y squared? The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers. The sum of two squares cannot be factored. Detailed description. Write your answer So these are not graphs of functions.