I'm stuck here don't have a clue what to do. I've read all my school textbooks but it doesn't make much sense!! The numbers after the letters are small figures as in they u3 meaning( u x u x u). Ta!
Factorise the expression
5 u3v +15 uv2-10v
taking out the highest common factor. Choose the expression that remains in brackets when this is done.
Select one:
u 3 + 3 uv − 10
u 3 + 3 uv − 2
u 3 + 15 uv − 2
u 3 + 3 uv 2 − 2
u 3v + 3 uv − 2
5 u 3 + 3 uv − 2
u 3v + 3 uv 2 − 2 v
5 u 3 + 15 uv − 10
5(u^3)(v) + 15(u)(v^2) - 10v
you are looking for the largest expression which divides into all 3 terms
I see 5 going into everybody, and also v is found in each term, so
5v(u^3 + 3uv - 2) would be the factored form
To factorize the expression 5u^3v + 15uv^2 - 10v, we can first identify the highest common factor among the three terms. In this case, the highest common factor is 5v.
Now, we can rewrite each term in the expression by dividing it by the highest common factor:
5u^3v / (5v) = u^3
15uv^2 / (5v) = 3uv
-10v / (5v) = -2
So the factored expression, after taking out the highest common factor, is:
5u^3v + 15uv^2 - 10v = 5v(u^3 + 3uv - 2)
Therefore, the correct option from the given choices is: u^3 + 3uv - 2