數學專家請快進!!!

2011-09-02 12:48 am
求解答以下難題!!!必須要有步驟!!!plz!!!thz!!!
1)(x+y+z)(x+y-z)

2)16p^2+48pq+36q^2

3)6xy+18xz / 8yz+24z^2

4)x / x^2+2x - 1 / x-2

5)解 2a+b=4 { a-2b=7
急!!!快!!!

回答 (2)

2011-09-04 6:08 am
✔ 最佳答案
1)(x+y+z)(x+y-z)
=x(x+y-z)+y(x+y-z)+z(x+y-z)
=x^2+xy-xz+xy+y^2-yz+xz+yz-z^2
=x^2+2xy+y^2-z^2
2)16p^2+48pq+36q^2
=4(4p^2+12pq+9q^2)
=4((2p)^2+2(2p)(3q)+(3q)^2)
=4(2p+3q)^2
3)6xy+18xz/8yz+24z^2
=6x(y+3z)/8z(y+3z)
=6x/8z
=3x/4z
4)x/x^2+2x-1/x-2
=x/x(x+2)-1/x-2
=1/(x+2)-1/(x-2)
=(x-2)-(x+2)/(x+2)(x-2)
=-4/(x+2)(x-2)
5.2a+b=4------(1)
a-2b=7------(2)
(2)*2,
2a-4b=14------(3)
(1)-(3),
(2a+b)-(2a-4b)=4-14
5b=-10
b=-2
sub b=-2 into (2)
a-2(-2)=7
a+4=7
a=3
therefore a=3,b=-2
參考: me
2011-09-02 3:57 am
1)
X(X+Y﹣Z)+Y(X+Y﹣Z)+Z(X+Y﹣Z)
自已乘埋入去

2)
(4P)^2+2(4)(6)+(6Q)^2
=(4P+6Q)^2
3

6X(Y+3Z) /8Z(Y+3Z)
=3X/4Z

4.X/x(x+2) - 1/x-2
=<x(x-2)-x(x+2)> /x(x^2-4)
=-4x/x(x^2-4)
5
a=7+2b

2(7+2b)+b=4
b=-2
when b=-2 a=3





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