Common Factors

2012-11-26 5:50 pm
Factor the following.

Show all the steps

1)12x^2y-15xy^2+20x^3y^4

Thanks

回答 (1)

2012-11-29 9:02 pm
✔ 最佳答案
12x²y - 15xy² + 20x³y⁴

= xy (12x - 15y + 20x²y³)
Notes :
12x - 15y + 20x²y³
= 20y³ x² + 12x - 15y △ = 12² - 4(20y³)(- 15y) = 144 + 1200y⁴= 16( 9 + 75y⁴)
But 9 + 75y⁴ is not a perfect square for all values of y ,
therefore 12x - 15y + 20x²y³ cann't be factorized.


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