How To Solve This Algebra Problem?
Factor out the polynomial completely.
45a^9b^5+60a^6b^4-15a^5b^3+420a^3b^2
The answer is supposed to be 15a^3b^2(3a^6b^3+4a^3b^2-a^2b+28), but how do you get this answer?
Update:@chicku yes the symbol ^ means squared
Comments
45a^9 60a^6 -15a^5 420a^3
15 goes evenly into each of the coefficients (45, 60, 15, ...) so we can factor out 15.
the fewest number of a's is 3, so we can remove 3 a's from the solution leaving:
15a^3
as for the b's, we have already handled the coefficients, so we just need to see which b has the lowest power:
Looking at it, i see b^2 as the lowest power, so we can remove qa b^2 from each section leaving us with the outside:
15a^3b^2
Now, look at each individual section (45a^9b^5, 60a^6b^4, -15a^5b^3, and 420a^3b^2)
divide each section by 15a^3b^2 in order to obtain the values placed within the parenthesis.
45a^9b^5+60a^6b^4-15a^5b^3+420a^3b^2
=15a^3b^2(3a^6b^3 + 4a^3b^2 - a^2b + 28) answer//
Take out the common terms outside the bracket..
I think some ^ means 4 & 3& 2....Is it ??