How to prove that $(AB)^*=B^*A^*$
89177
$\operatorname{adj}(AB) = \operatorname{adj} B \operatorname{adj} A$
150320
Why does $a^{b}·a^{c}=a^{b+c}$?
20346
'Algebraic' way to prove the boolean identity $a + \overline{a}*b = a + b$
84422
$AB=BA$, $AC=CA$ we need to show $BC=CB$
90670
Prove $a^ab^bc^c\ge (abc)^{\frac{a+b+c}3}$ for positive numbers.
44897
Proof: If $n=ab$ then $2^a-1 \mid 2^n-1$
149287
Prove that $A,B>0$ and $A_{ij}0$
98855
Prove $aba^{-1}b^{-1}\in{N}$ for all $a,b$
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
57125
Prove the distributive law $a(b+c)=ab+ac$ for real numbers?
50417
Prove that the triangles $ABC$ and $AB^{'}C^{'}$ have the same incentre.
90438
To prove that if $ab\equiv ac\bmod n$ and $(a,n)=1$ then $b\equiv c\bmod n$
36602
$a^m=b^m$ and $a^n=b^n$ imply $a=b$
31173
How to show $(a^b)^c=a^{bc}$ for arbitrary cardinal numbers?
145125
How to prove that $A^{-1} + B^{-1}$ is invertible given the conditions
115460
Proving $a\mid b^2,\,b^2\mid a^3,\,a^3\mid b^4,\ldots\implies a=b$ - why is my approach incorrect
45760
if G is generated by {a,b} and ab=ba, then prove G is Abelian