Factor.
1. 30y^3 - 50y
A: 10y(3y - 5y)
2. Factor a^2 - 5a^2 + 2a -10 by grouping.
A: ?
check by expanding your answer, you will see that the first one is wrong
you probably meant
a^3 - 5a^2 + 2a -10 , says by grouping, so do that ...
= a^2(a-5) + 2(a-5)
= (a-5)(a^2 + 2)
To factor the expression a^2 - 5a^2 + 2a -10 by grouping, we need to group the terms in pairs and find a common factor for each pair.
First, let's group the terms:
(a^2 - 5a^2) + (2a - 10)
Now, factor out the common factor from each group:
a^2(1 - 5) + 2(a - 5)
Simplifying further, we have:
a^2(-4) + 2(a - 5)
Now, we can factor out -4 and (a - 5) as the common factors:
-4(a^2 - 2(a - 5))
Therefore, the factored form of the expression a^2 - 5a^2 + 2a -10 by grouping is -4(a^2 - 2(a - 5)).