Please help me to factorize these polynomials!!
1. (y^2+3y)^2-2y^2-6y-8
2. (y-1)(y-2)(y-3)(y-4)-48
Give me steps please! Thanks.
F.2 Maths (Factorization)
2010-05-26 4:01 am
回答 (1)
2010-05-26 4:24 am
✔ 最佳答案
1. (y^2+3y)^2-2y^2-6y-8= (y^2+3y)^2 - 2(y^2+3y) - 8
Let A be y^2 + 3y :
= A^2 - 2A - 8
= (A + 2)(A - 4)
= (y^2+3y + 2)(y^2+3y - 4)
= (y+1)(y+2) (y+4)(y-1)
2.
(y-1)(y-2)(y-3)(y-4) -48
= (y-1)(y-4)(y-2)(y-3) - 48
= (y^2 - 5y + 4)(y^2 - 5y + 6) - 48
Let K be y^2 - 5y :
= (k+4)(k+6) - 48
= (k^2 + 10k + 24) - 48
= k^2 + 10k - 24
= (k - 2)(k + 12)
= (y^2 - 5y - 2)(y^2 - 5y + 12)
收錄日期: 2021-04-21 22:16:17
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