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** ...

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 ...

For more information, see How to prove that [**math**]a^**2**+**b**^**2**=\frac{(a+**b**)^**2**+(a-b)^**2**}{**2}[/math** ...

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 ...

For more information, see Hypocycloid -- from Wolfram MathWorld

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 ...

For more information, see Pythagorean theorem - Wikipedia

I found an answer from en.wikipedia.org

Identity (**mathematics**) - Wikipedia

... (cos(θ),sin(θ)) lies on the unit circle, which satisfies the **equation** x^{2}+y^{2}=1.
Thus, cos^{2}(θ)+sin^{2}(θ)=1. In **mathematics** an identity is an equality relation A = **B**,
such that A and **B** contain some ... For example, (a + **b**)^{2} = a^{2} + **2ab** + **b ^{2}** and cos

^{2}(x) + sin

^{2}(x) = 1 are identities. Identities are sometimes indicated by the triple bar ...

For more information, see Identity (**mathematics**) - Wikipedia

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**. = a^{2} + ba + ab + **b ^{2}**. = a

^{2}+

**2ab**+

**b**. which is quite

^{2}**useful**(you can try it out with some specific ...

For more information, see Identities

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** ax^{2} + bx + c = 0, the discriminant is **b ^{2}** − 4ac; for a ...

For more information, see Discriminant | **mathematics** | Britannica.com