Show $(a+b, a-b) = 1$ or $2$ if $(a,b)=1$
19700
Prove that if $a$ and $b$ are relatively prime, then $\gcd(a+b, a-b) = 1$ or $2$
18772
If $a,b \in\mathbb N$ and $\gcd(a,b)=1$, prove that $\gcd(a+b;a^2+b^2)= 1$ or $2$.
20346
'Algebraic' way to prove the boolean identity $a + \overline{a}*b = a + b$
85977
Show that if $\sqrt{a}+\sqrt{b}\neq 0$, then $\mathbb{Q}(\sqrt{a}+\sqrt{b}) = \mathbb{Q}(\sqrt{a},\sqrt{b}), \forall a,b\in\mathbb{Q}$
5729
If $a^2+b^2+c^2=1$ then prove the following.
31196
Prove $\binom{n}{a}\binom{n-a}{b-a} = \binom{n}{b}\binom{b}{a}$
19046
Show that if $a$ and $b$ are positive integers with $(a,b)=1$ then $(a^n, b^n) = 1$ for all positive integers n
6128
If $a \cdot a = 1$ then $a = 1$ or $a = -1$
74222
If $a+b=1$ then $a^{4b^2}+b^{4a^2}\leq1$
151607
Show that  $A\Delta B = C$ if and only if $A = B\Delta C$
13012
Why can a = b imply 2 = 1?
24856
Proving sup(A + B) = sup A + sup B
81618
Prove $||a|-|b| | \leq |a-b|$
68092
Does square difference prove that 1 = 2?
19457
Show that: $\inf(A+B) = \inf(A)+ \inf(B)$
10348
Prove that if the $\gcd(a,b)=1$, then $\gcd(a+b,ab)=1$
38295
If $\gcd (a,b) = 1$, what can be said about $\gcd (a+b,a-b)$?