Factor the following trinomials.
Please show all the step.
1) 12x^4-25x^2y^2-7y^4
2) 6(x+3)^2+19(x+3)+10
Factor fully.
Please show all the steps.
3) 36a^2-144b^2
数学 Trinomials 急急急！！！
2012-12-09 11:59 pm
回答 (1)
2012-12-10 6:05 pm
✔ 最佳答案
1) 12x4 - 25x2y2 - 7y4= y4 [12(x/y)4 - 25(x/y)2 - 7]
Sub u = x/y, then
= y4 (12u4 - 25u2 - 7)
= y4 (3u2 - 7)(4u2 + 1)
= (3u2y2 - 7y2)(4u2y2 + y2)
= (3x2 - 7y2)(4x2 + y2)
2) Sub u = x + 3, then
6u2 + 19u + 10
= (3u + 2)(2u + 5)
= [3(x + 3) + 2] [2(x + 3) + 5]
= (3x + 11)(2x + 11)
3) 36a2 - 144b2
= 36(a2 - 4b2)
= 36[a2 - (2b)2]
= 36(a - 2b)(a + 2b)
參考: 原創答案
收錄日期: 2021-04-13 19:09:57
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