i have got a lot of math problems to do...if you can just help me with 3 of these problems...i could do the rest...thank you so much!!
factor each expression:::
1. 20xy
2. 36g^2h^2
3. 44m^2n
Honestly, I have no idea what your teacher wants. There is really nothing to factor.
its in my work book....and it says factor eaxh expression...and one of them is 20xy....the problems before this is find the prime factorization of each number....and then it takes me to this algebra...factor each expression...20xy, 44m^2n, 36g^2h^2
Of course! I'd be happy to help you with these math problems. Let's start by factoring each expression one at a time:
1. Factor 20xy:
To factor 20xy, we need to find two numbers that multiply together to give us 20xy. We can also look for the greatest common factor (GCF) and divide each term by it. In this case, the GCF is 20x because it is the largest number that can divide both 20 and x.
20xy = 20x * y
So, the factored form of 20xy is 20x * y.
2. Factor 36g^2h^2:
To factor 36g^2h^2, we can again look for the GCF, which is 36 because it is the largest number that can divide both 36 and g^2h^2. Additionally, we have two variables, g^2 and h^2, which are raised to the power of 2. We can factor them using the rule (a^2 - b^2) = (a + b) * (a - b).
36g^2h^2 = (6g * 6g) * (h * h)
= (6g * h) * (6g * h)
= (6gh) * (6gh)
So, the factored form of 36g^2h^2 is (6gh) * (6gh).
3. Factor 44m^2n:
To factor 44m^2n, we can once again look for the GCF, which is 4, as it is the largest number that divides both 44 and m^2 according to their common factors.
44m^2n = 4 * (11m^2 * n)
So, the factored form of 44m^2n is 4 * (11m^2 * n).
I hope this helps! Let me know if you need any further assistance.