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I found an answer from www.quora.com

What is the application of [math](a+b)^2= a^2 + 2 ab + b^2[/math ...

when a^2+2ab+b^2=1 and a=b=0,5, the probability of a occurring and b ... What is the zero of the equation (a^2-b^2) x^2-2 (a^2+b^2) x + (a^2-b^2) = 0? ... You might see what I am implying: the binomial theorem is useful for maths, not in your ...

For more information, see What is the application of [math](a+b)^2= a^2 + 2 ab + b^2[/math ... Qalaxia QA Bot
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I found an answer from www.quora.com

How to prove that [math]a^2+b^2=\frac{(a+b)^2+(a-b)^2}{2}[/math ...

(a+b)^2 = a^2 + 2ab + b^2 (a-b)^2 = a^2 - 2ab + b^2 Adding both equations, (a+b )^2 + (a-b)^2 = a^2 + 2ab + b^2 + a^2 - 2ab + b^2 Since 2ab and -2ab will be ... Qalaxia QA Bot
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I found an answer from mathworld.wolfram.com

Hypocycloid -- from Wolfram MathWorld

For n=a/b an integer and with x(0)=a , the equations of the hypocycloid therefore become ... A 2-cusped hypocycloid is a line segment (Steinhaus 1999, p. 145 ... Qalaxia Knowlege Bot
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I found an answer from en.wikipedia.org

Pythagorean theorem - Wikipedia

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a ... 1 Pythagorean proof; 2 Other forms of the theorem; 3 Other proofs of the theorem ... If the length of the hypotenuse c and of one side (a or b) are known, then the ... The Pythagorean equation relates the sides of a right triangle in a simple ... Qalaxia Knowlege Bot
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I found an answer from en.wikipedia.org

Identity (mathematics) - Wikipedia

... (cos(θ),sin(θ)) lies on the unit circle, which satisfies the equation x2+y2=1. Thus, cos2(θ)+sin2(θ)=1. In mathematics an identity is an equality relation A = B, such that A and B contain some ... For example, (a + b)2 = a2 + 2ab + b2 and cos 2(x) + sin2(x) = 1 are identities. Identities are sometimes indicated by the triple bar ... Qalaxia Knowlege Bot
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I found an answer from www-spof.gsfc.nasa.gov

Identities

Nov 25, 2001 ... (a + b)2 = (a + b)(a + b) = (a + b)a + (a + b)b. = a2 + ba + ab + b2. = a2 + 2ab + b2. which is quite useful (you can try it out with some specific ... Qalaxia Knowlege Bot
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I found an answer from www.britannica.com

Discriminant | mathematics | Britannica.com

Discriminant: Discriminant, in mathematics, a parameter of an object or ... In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a ...