SOLUTION: How do you Factor out sqrt(4x^4+36x^2+81) to equal 2x^2+9 ?

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Question 818171: How do you Factor out
sqrt(4x^4+36x^2+81) to equal 2x^2+9 ?
Found 2 solutions by richwmiller, MathTherapy:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
foil this 2x^2+9* 2x^2+9 and go back to 4x^4+36x^2+81
2x^2*2x^2=4x^4
2x^2*9=18x^2
9*2x^2=18x^2
9*9=81
add them and we have
4x^4+36x^2+81
convert
let y=2x^2
y^2+18y+81
we now want factors of 81 which add up to 18
9*9=81
9+9=18
so now we have
(y+9) but y=2x^2
so we have
2x^2+9

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

How do you Factor out
sqrt(4x^4+36x^2+81) to equal 2x^2+9 ? 


sqrt%284x%5E4+%2B+36x%5E2+%2B+81%29

sqrt%28%282x%5E2+%2B+9%29%282x%5E2+%2B+9%29%29 ------ Factoring radicand

sqrt%28%282x%5E2+%2B+9%29%29%5E2_____highlight_green%282x%5E2+%2B+9%29 ----- Square root and square cancel each other

You can do the check!! 



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