我想問一些maths?

2006-12-27 7:12 am
1a.以證明下列各式是恆等式。

**要列式!**

題目在下面:

2(s+7)+3(s-5)=s+4(s-2)+7

b.(2x+3)(x-2)=2x(x+6)-13x-6

回答 (4)

2006-12-27 7:19 am
✔ 最佳答案
2(s+7)+3(s-5)=s+4(s-2)+7

L.H.S = 2(s+7)+3(s-5)
= 2s + 14 + 3s - 15
= 2s + 3s + 14 - 15
= 5s - 1

R.H.S = s+4(s-2)+7
= s + 4s - 8 + 7
= 5s - 1

(2x+3)(x-2)=2x(x+6)-13x-6

L.H.S = (2x+3)(x-2)
= 2x^2 - 4x + 3x - 6
= 2x^2 -x - 6

R.H.S = 2x(x+6)-13x-6
= 2x ^ 2 + 12x - 13x - 6
= 2x^2 - x - 6
2006-12-27 7:53 am
2(s+7)+3(s-5)=s+4(s-2)+7

L.H.S = 2(s+7)+3(s-5)
= 2s + 14 + 3s - 15
= 2s + 3s + 14 - 15
= 5s - 1

R.H.S = s+4(s-2)+7
= s + 4s - 8 + 7
= 5s - 1

(2x+3)(x-2)=2x(x+6)-13x-6

L.H.S = (2x+3)(x-2)
= 2x^2 - 4x + 3x - 6
= 2x^2 -x - 6

R.H.S = 2x(x+6)-13x-6
= 2x ^ 2 + 12x - 13x - 6
= 2x^2 - x - 6
2006-12-27 7:20 am
2(s+7)+3(s-5)=s+4(s-2)+7
2s+14+3s-15=s+4s-8+7
5s-1=5s-1
2006-12-27 7:20 am
No. 1

L.H.S : 2[s+7]+3[s-5]=2s+14+3s-15
= 5s -1
R.H.S: s+4(s-2)+7 = s+4s-6+7
=5s-1
=L.H.S

No.2

L.H.S: .(2x+3)(x-2)=2x^2 +3x -4x-6
=2x^2 -x -6

R.H.S: 2x(x+6)-13x-6=2x^2 +12x-13x-6
=2x^2-x-6
=L.H.S


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