Question 346998: how to do this problem 2(4+9x) and -2(-2+2xpower2ypower3+3ypower2)
Answer by haileytucki(390)   (Show Source):
You can put this solution on YOUR website! Are you looking for the Greatest common factor, or are they seperate?
If they are together:
2(4+9x)_-2(-2+2x^(2)y^(3)+3y^(2))
Factor out the GCF of 2 from each term in the polynomial.
2((4+9x))+2(-(-2+2x^(2)y^(3)+3y^(2)))
Factor out the GCF of 2 from 2(4+9x)-2(-2+2x^(2)y^(3)+3y^(2)).
2((4+9x)-(-2+2x^(2)y^(3)+3y^(2)))
Reorder the polynomial 4+9x alphabetically from left to right, starting with the highest order term.
2((9x+4)-(-2+2x^(2)y^(3)+3y^(2)))
Reorder the polynomial -2+2x^(2)y^(3)+3y^(2) alphabetically from left to right, starting with the highest order term.
2((9x+4)-(2x^(2)y^(3)+3y^(2)-2))
Multiply -1 by each term inside the parentheses.
2(9x+4-2x^(2)y^(3)-3y^(2)+2)
Add 2 to 4 to get 6.
2(9x+6-2x^(2)y^(3)-3y^(2))
The GCF (Greatest Common Factor) is the polynomial that was factored from each expression.
2
Seperate:
2(4+9x)
Reorder the polynomial 4+9x alphabetically from left to right, starting with the highest order term.
2(9x+4)
Multiply 2 by each term inside the parentheses.
18x+8
and
-2(-2+2x^(2)y^(3)+3y^(2))
Reorder the polynomial -2+2x^(2)y^(3)+3y^(2) alphabetically from left to right, starting with the highest order term.
-2(2x^(2)y^(3)+3y^(2)-2)
Multiply -2 by each term inside the parentheses.
-4x^(2)y^(3)-6y^(2)+4
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