SOLUTION: Factor the polynomial completely {{{x^2-y^2+18y-81}}}

Question 44989: Factor the polynomial completely

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can factor this expression in steps:
Group the last three terms.
Note the change of signs due to the introduction of the parentheses. You can verify that this is the same as the original expression using the distributive property.
Now factor the trinomial in the parentheses.
= So now you have:
Which, as you can see, is the difference of two squares, and which factors nicely. To wit! , so...
Simplifying, you get:
as the factors of the expression
RELATED QUESTIONS
Factor the polynomial completely.... (answered by Earlsdon)

COMPLETELY FACTOR... (answered by MathLover1)

Factor completely: 2x^2 � 18y^2 (answered by bucky)

Factor the polynomial... (answered by Fombitz)

Factor each polynomial completely w^2 - 18w + 81 (answered by Earlsdon)

factor completely:... (answered by Alan3354)

Factor the following trinomial completely.... (answered by lynnlo)

Completely factor the polynomial x^3 + y^3 + x^2 -... (answered by MathLover1)

y^4-18y^2+81=0 (answered by saifoo.khan)