Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

How can one talk without saying a single word?

Which English verb becomes past tense just by rearranging the letters?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

Identify the hidden meaning behind this picture?

You have 1023 apples and 10 bags. You have to distribute these apples in these 10 bags in any way you choose. But when I ask for a certain number of apples you have to give them in terms of bags without transferring the apples from other bags. How do you distribute the apples?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

Can you tell a 3D object that has just two surfaces?

Once upon a time, there was a castle on a square island. The entire island was surrounded by a 14m wide trench. The Romans had wanted to invade the castle and had brought a few wooden planks along with them to facilitate themselves in crossing the moat. The planks were however found to be only 13m long.

The Romans still managed to cross the trench. How did they do it?

How many letters are in the alphabet?