F.1數學問題-v-

化簡下例各式
1.(2d-3d二次方) - (d二次方+3d)
=(2d-3d^2) - (d^2+3d)
=2d-3d^2 - d^2-3d
=-4d^2 -3d
=-(4d +3)d

2.n二次方 - (n二次方-6n+7)
=(n^2) - (n^2-6n+7)
=n^2 - n^2+6n-7
=6n-7

3.(c二次方-d二次方) - (c二次方+d二次方-2cd)
=(c^2-d^2) - (c^2+d^2-2cd)
=c^2-d^2 - c^2-d^2+2cd
=-2d^2+2cd
=2d(c-d)

4.(x-y) + (y-z) + (z-x)
=x-y + y-z + z-x
=0

5.a二次方xa二次方
=a^2 xa^2
=a^4


6.(7d)二次方
=(7d)^2
=49d^2

7.8a三次方份之(2a二次方)三次方
=(2a^2)^3/8a^3
=8a^6/8a^3
=a^3

8.(3-5b二次方-2b)-(3+b2)
=(3-5b^2-2b)-(3+b^2) is it?
=3-5b^2-2b-3-b^2
=-6b^2-2b
=-2b(1+3b)

9.(22x二次方-9x+12)-(-12x二次方-9x+4)
=(22x^2-9x+12)-(-12x^2-9x+4)
=22x^2-9x+12+12x^2+9x-4
=34x^2+8
=2(17x^2+4)

10.(m-8n+r)+(2m+2n-4 r)
=m-8n+r+2m+2n-4 r
=3m-6n-3 r
=3(m-2n- r)

11.(d二次方-7)-(-3d二次方-5)
=(d^2-7)-(-3d^2-5)
=d^2-7+3d^2+5
=4d^2-2
=2(2d^2-1)

12.(-c三次方+2c二次方)-(4-4c三次方)-(6-c二次方)
=(-c^3+2c^2)-(4-4c^3)-(6-c^2)
=-c^3+2c^2-4+4c^3-6+c^2
=3c^3+3c^2-10

13.2a三次方c(ac二次方-5c)
=2a^3c(ac^2-5c)
=2a^3c^2(ac-5)

14.(x+3)(x-4) 已經最簡單啦

15.(2y-3)(4y-4) 已經最簡單啦

16.6b-2a(2a+b)-6a二次方
=6b-2a(2a+b)-6a^2
=6b-4a^2-2ab-6a^2
=6b-10a^2-2ab
=2(3b-5a^2-ab)


17.4x(3a-2x) 已經最簡單啦

18.(1-x)(2-x) 已經最簡單啦

19.(4y+7)(3y三次方-3)
=(4y+7)(3y^3-3)
=3(4y+7)(y^3-1)
=3(4y+7)(y-1)(y^2+y+1)

20.(2y+x)(4x)+5xy
=8xy+4x^2+5xy
=4x^2+13xy
=(4x+13y)x

解下列方程

21.6份之y = 6-3份之4y
y/6 = 6-(4y/ 3)
y/6 = (18-4y)/ 3
y = 2(18-4y)
y = 36-8y
9y = 36
y = 4

22.3份之k+9=15
(k+9)/3=15 is it?
(k+9)/3=15
k+9=45
k=36

23.3(a+2)=6
a+2=2
a=0

24.3份之t=-1
t/3=-1
t=-3

25.12-4=2(a-6)
8=2(a-6)
4=a-6
a=10

26.4份之e-1 -3=9
(e-1)/4 -3=9 is it?
(e-1)/4 =12
e-1=48
e=49

27.3份之y+9=4份之5-y
(y+9)/3=(5-y)/4 is it?
4(y+9)=3(5-y)
4y+36=15-3y
7y=-21
y=-3

15.(2y-3)(4y-4)
= 4(2y-3)(y-1)

It can be simplified!!!

好得閒=v=

唔明你up乜囉，太複雜，我都係F.1- -

ask your math teacher

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