please someone help me! i've tried so hard!

factor

m^6 + n^2

28x^2y^2 - 7x^4

8x^3y^3 +343z^3

thank you so much!!!


For the second one: 28x^2y^2 - 7x^4
Factor out 7x^2: 7x^2(4y^2 - x^2)
Now we try to factor 4y^2 - x^2, which is: (2y + x)(2y - x)
We end up with this: 7x^2(2y + x)(2y - x)

The others cannot be factored any further.

that is true just what mathguru said

To factor the given expressions, let's go through them step by step:

1. To factor m^6 + n^2, we notice that it is a sum of two terms that are not similar in any way. Therefore, we cannot factor it any further.

2. For 28x^2y^2 - 7x^4, we can factor out the greatest common factor, which is 7x^2. So we have: 7x^2(4y^2 - x^2). Now we focus on factoring the quadratic expression 4y^2 - x^2. This can be expressed as the difference of squares, which is (2y + x)(2y - x). Therefore, the completely factored expression is: 7x^2(2y + x)(2y - x).

3. Lastly, for 8x^3y^3 + 343z^3, we notice that it is a sum of two terms with no common factors. Therefore, we cannot factor it any further.

I hope this helps!