Factoring Special Quadratics

2012-11-26 5:43 pm
Factor fully, if possible.

Show all the steps

1) x^2-5xy+9y^2

2)a^4-14a^2+36

3) 4x^4-24x^2y^2+36y^4

Thakns

回答 (3)

2012-12-04 5:03 pm
✔ 最佳答案
a^4 - 14a^2 + 36
= a^4 - 12a^2 + 36 - 2a^2
= (a^2 - 6)^2 - 2a^2
= (a^2 + sqrt(2)a - 6)(a^2 - sqrt(2)a - 6)

4x^4 - 24x^2y^2 + 36y^4
= 4(x^4 - 6x^2y^2 + 9y^4)
= 4(x^2 - 3y^2)^2

(1) DON'T KNOW
參考: knowledge
2012-12-11 10:33 pm
肯定没有打错!!!!
2012-11-28 10:12 am
1) and 2) cannot be factorized.有沒有打錯?

3) 4x^4-24x^2y^2+36y^4
4(x^4-6x^2y^2+9y^4)
4(x^2 - 3y^2)(x^2 - 3y^2)


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