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!