How can you factor?

x^6+y^6

That expression cannot be factored further because the bases of the exponents are different.

so it's prime...Thank you.

Can you please help me with this one?
50x^2 - 2y^2 - 4yz - 2z^2

I tried doing it but I get very confused.

thanks.

Is it 2(5x+y-z)(5x-y+z)?

thats wrong. the answer is 2(5x - y -z)(5x + y + z)

When factoring expressions, it's important to follow some rules and techniques. Let's go step by step to factor the expression 50x^2 - 2y^2 - 4yz - 2z^2.

1. Look for common factors:
First, we can see that there is a common factor of 2 in all the terms, so we can factor it out:
2(25x^2 - y^2 - 2yz - z^2)

2. Identify the pattern:
Next, we can observe that the remaining terms can be seen as a difference of squares: (a^2 - b^2) which can be factored as (a + b)(a - b). In our case, a is 5x, and b is y + z:
2(5x + y + z)(5x - y - z)

So the correct factored form of the expression is 2(5x + y + z)(5x - y - z).

If you need further help or have more questions, feel free to ask!