can you factor these by grouping?

2009-05-03 4:56 pm
1) 24m^2+8m-2

2) 36v^2-9v-7

3) 63q^2-52q-20

回答 (2)

2009-05-03 5:07 pm
✔ 最佳答案
1) 24m^2+8m-2
=2(12m^2+4x-1)
=2(2m+1)(6m-1) answer//

2) 36v^2-9v-7=(3v+1)(12v-7) answer//

3) 63q^2-52q-20=(7q+2)(9q-10) answer//
2009-05-03 5:05 pm
1)
24m^2 + 8m - 2
= 2(12m^2 + 4m - 1)
= 2(12m^2 + 6m - 2m - 1)
= 2[(12m^2 + 6m) - (2m + 1)]
= 2[6m(2m + 1) - 1(2m + 1)]
= 2(2m + 1)(6m - 1)

2)
36v^2 - 9v - 7
= 36v^2 + 12v - 21v - 7
= (36v^2 + 12v) - (21v + 7)
= 12v(3v + 1) - 7(3v + 1)
= (3v + 1)(12v - 7)

3)
63q^2 - 52q - 20
= 63q^2 + 18q - 70q - 20
= (63q^2 + 18q) - (70q + 20)
= 9q(7q + 2) - 10(7q + 2)
= (7q + 2)(9q - 10)


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