(1)(2x^2+x)-[4x^2-(3^2-x)],其中x= -1又3分之2 (2)若a+b=5,a^3+b^3=50,求a^2+b^2的值 (3)已知a-2b+3c=7,4a+3b-2c=3,求代数式5a+12b-13c的值 (4)已知3x^2-x=1,求代数式6x^3+7x^2-5x+2011的值 (5)若x:y:z=3:4:7,且2x-y+z=18,求x+2y-z的值

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(1)(2x^2+x)-[4x^2-(3^2-x)],其中x=-1又3分之2(2)若a+b=5,a^3+b^3=50,求a^2+b^2的值(3)已知a-2b+3c=7,4a+3b-2c=3,求代数式5

(1)(2x^2+x)-[4x^2-(3^2-x)],其中x= -1又3分之2 (2)若a+b=5,a^3+b^3=50,求a^2+b^2的值 (3)已知a-2b+3c=7,4a+3b-2c=3,求代数式5a+12b-13c的值 (4)已知3x^2-x=1,求代数式6x^3+7x^2-5x+2011的值 (5)若x:y:z=3:4:7,且2x-y+z=18,求x+2y-z的值
(1)(2x^2+x)-[4x^2-(3^2-x)],其中x= -1又3分之2 (2)若a+b=5,a^3+b^3=50,求a^2+b^2的值 (3)已知a-2b+3c=7,4a+3b-2c=3,求代数式5a+12b-13c的值 (4)已知3x^2-x=1,求代数式6x^3+7x^2-5x+2011的值 (5)若x:y:z=3:4:7,且2x-y+z=18,求x+2y-z的值

(1)(2x^2+x)-[4x^2-(3^2-x)],其中x= -1又3分之2 (2)若a+b=5,a^3+b^3=50,求a^2+b^2的值 (3)已知a-2b+3c=7,4a+3b-2c=3,求代数式5a+12b-13c的值 (4)已知3x^2-x=1,求代数式6x^3+7x^2-5x+2011的值 (5)若x:y:z=3:4:7,且2x-y+z=18,求x+2y-z的值
(1)(2x^2+x)-[4x^2-(3^2-x)]=2x^2+x-4x^2+3^2-x=9-2x^2=9-50/9=31/9
(2)若a+b=5,a^3+b^3=50,求a^2+b^2的值
a^3+b^3=(a+b)(a^2-ab+b^2)=50=5(a^2+b^2-ab) , a^2+b^2=10+ab
2(a^2+b^2)=20+2ab -------(1)
(a+b)^2=a^2+b^2+2ab=25 , a^2+b^2=25-2ab-------(2)
(1)+(2)
a^2+b^2=45
(3)已知a-2b+3c=7,4a+3b-2c=3,
5a+12b-13c=(4a+3b-2c)+(a-2b+3c)+11b+12c=11b-14c+10=-25+10=-15
4a-8b+12c=28------(1)
4a+3b-2c=3---------(2)
(2)-(1)
11b-14c=-25
(4)已知3x^2-x=1,求代数式6x^3+7x^2-5x+2011的值
6x^3+7x^2-5x+2011=x(6x^2+7x-5)+2011=x[2(3x^2-x)+9x-5]+2011=9x^2-3x+2011
=2014
(5)若x:y:z=3:4:7,且2x-y+z=18,求x+2y-z的值
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