1. (3x^2-x+2)-(x^2+2)+(2x^2-4x-5)
2.(6y^2+5y)-(3y+8)-(2y^2+5y-4)
3.(4x+7y)(3x-4y)
4.(3a+2b)(b+5a)
Simplify each of the following polynomials and arrange the terms in ascending powers of the variable.
5.(a-3)(3a+5)-(4a-1)
6.(2x+3)(3x+2)+(4x-3)(x+2)
6題數學(20點)
2012-10-06 9:07 pm
回答 (4)
2012-10-07 4:17 pm
✔ 最佳答案
1.(3x^2-x+2)-(x^2+2)+(2x^2-4x-5)
=4x^2-5x-5
2.
(6y^2+5y)-(3y+8)-(2y^2+5y-4)
=4y^2-3y-4
3.
(4x+7y)(3x-4y)
=12x^2-16xy+21xy-28y^2
=12x^2+5xy-28y^2
4.
(3a+2b)(b+5a)
=3ab+15a^2+2b^2+10ab
=15a^2+13ab+2b^2
5.
(a-3)(3a+5)-(4a-1)
=3a^2+5a-9a-15-4a+1
=3a^2-8a-14
=-14-8a+3a^2
6.
(2x+3)(3x+2)+(4x-3)(x+2)
=(6x^2+4x+9x+6)+(4x^2+8x-3x-6)
=6x^2+13x+6+4x^2+5x-6
=10x^2+18x
=18x+10x^2
2012-10-07 3:10 am
(3x^2-x+2)-(x^2+2)+(2x^2-4x-5)
=3x^2-x^2+2x^2-x-4x+2-2-5
=4x^2-5x-5
(6y^2+5y)-(3y+8)-(2y^2+5y-4)
=6y^2-2y^2+5y-3y-5y-8+4
=4y^2-3y-4
(4x+7y)(3x-4y)
=12x^2+21xy-16xy-28y^2
=12x^2+5xy-28y^2
(3a+2b)(b+5a)
=15a^2+3ab+10ab+2b^2
=15a^2+13ab+2b^2
(a-3)(3a+5)-(4a-1)
=(3a^2-9a+5a-15)-(4a-1)
=(3a^2-4a-15)-(4a-1)
=3a^2-4a-15-4a+1
=3a^2-8a-14
(2x+3)(3x+2)+(4x-3)(x+2)
=(6x^2+9x+4x+6)+(4x^2-3x+8x-6)
=(6x^2+13x+6)+(4x^2+5x-6)
=6x^2+13x+6+4x^2+5x-6
=10x^2+18x
=3x^2-x^2+2x^2-x-4x+2-2-5
=4x^2-5x-5
(6y^2+5y)-(3y+8)-(2y^2+5y-4)
=6y^2-2y^2+5y-3y-5y-8+4
=4y^2-3y-4
(4x+7y)(3x-4y)
=12x^2+21xy-16xy-28y^2
=12x^2+5xy-28y^2
(3a+2b)(b+5a)
=15a^2+3ab+10ab+2b^2
=15a^2+13ab+2b^2
(a-3)(3a+5)-(4a-1)
=(3a^2-9a+5a-15)-(4a-1)
=(3a^2-4a-15)-(4a-1)
=3a^2-4a-15-4a+1
=3a^2-8a-14
(2x+3)(3x+2)+(4x-3)(x+2)
=(6x^2+9x+4x+6)+(4x^2-3x+8x-6)
=(6x^2+13x+6)+(4x^2+5x-6)
=6x^2+13x+6+4x^2+5x-6
=10x^2+18x
2012-10-06 11:49 pm
1.(3x^2-x+2)-(x^2+2)+(2x^2-4x-5)
=3x^2-x+2-x^2-2+2x^2-4x-5
=(3-1+2)x^2-(1+4)x+2-2+5
=4x^2-5x+5//
2.(6y^2+5y)-(3y+8)-(2y^2+5y-4)
=6y^2+5y-3y-8-2y^2-5y+4
=(6-2)y^2+(5-3-5)y-8+4
=4y^2-3y-4//
3.(4x+7y)(3x-4y)
=12x^2-8xy+21xy-28y^2
=12x^2+13xy-28y^2//
4.(3a+2b)(b+5a)
=15a^2+10ab+3ab+2b^2
=15a^2+13ab+2b^2//
5.(a-3)(3a+5)-(4a-1)
=3a^2+5a-9a-15-4a+1
=-15+1+(5-9-4)a+3a^2
=-14-8a+3a^2//
6.(2x+3)(3x+2)+(4x-3)(x+2)
=6x^2+4x+9x+6+4x^2+8x-3x-6
=6-6+(4+9-8-3)x+(6+4)x^2
=2x+10x^2//
Hope i can help u .add oil!
=3x^2-x+2-x^2-2+2x^2-4x-5
=(3-1+2)x^2-(1+4)x+2-2+5
=4x^2-5x+5//
2.(6y^2+5y)-(3y+8)-(2y^2+5y-4)
=6y^2+5y-3y-8-2y^2-5y+4
=(6-2)y^2+(5-3-5)y-8+4
=4y^2-3y-4//
3.(4x+7y)(3x-4y)
=12x^2-8xy+21xy-28y^2
=12x^2+13xy-28y^2//
4.(3a+2b)(b+5a)
=15a^2+10ab+3ab+2b^2
=15a^2+13ab+2b^2//
5.(a-3)(3a+5)-(4a-1)
=3a^2+5a-9a-15-4a+1
=-15+1+(5-9-4)a+3a^2
=-14-8a+3a^2//
6.(2x+3)(3x+2)+(4x-3)(x+2)
=6x^2+4x+9x+6+4x^2+8x-3x-6
=6-6+(4+9-8-3)x+(6+4)x^2
=2x+10x^2//
Hope i can help u .add oil!
參考: me
2012-10-06 10:45 pm
1.(3x^2-x+2)-(x^2+2)+(2x^2-4x-5)
=3x^2-x+2-x^2-2+2x^2-4x-5
=(3-1+2)x^2-(1+4)x+2-2+5
=4x^2-5x+5//
2.(6y^2+5y)-(3y+8)-(2y^2+5y-4)
=6y^2+5y-3y-8-2y^2-5y+4
=(6-2)y^2+(5-3-5)y-8+4
=4y^2-3y-4//
3.(4x+7y)(3x-4y)
=12x^2-8xy+21xy-28y^2
=12x^2+13xy-28y^2//
4.(3a+2b)(b+5a)
=15a^2+10ab+3ab+2b^2
=15a^2+13ab+2b^2//
5.(a-3)(3a+5)-(4a-1)
=3a^2+5a-9a-15-4a+1
=-15+1+(5-9-4)a+3a^2
=-14-8a+3a^2//
6.(2x+3)(3x+2)+(4x-3)(x+2)
=6x^2+4x+9x+6+4x^2+8x-3x-6
=6-6+(4+9-8-3)x+(6+4)x^2
=2x+10x^2//
=3x^2-x+2-x^2-2+2x^2-4x-5
=(3-1+2)x^2-(1+4)x+2-2+5
=4x^2-5x+5//
2.(6y^2+5y)-(3y+8)-(2y^2+5y-4)
=6y^2+5y-3y-8-2y^2-5y+4
=(6-2)y^2+(5-3-5)y-8+4
=4y^2-3y-4//
3.(4x+7y)(3x-4y)
=12x^2-8xy+21xy-28y^2
=12x^2+13xy-28y^2//
4.(3a+2b)(b+5a)
=15a^2+10ab+3ab+2b^2
=15a^2+13ab+2b^2//
5.(a-3)(3a+5)-(4a-1)
=3a^2+5a-9a-15-4a+1
=-15+1+(5-9-4)a+3a^2
=-14-8a+3a^2//
6.(2x+3)(3x+2)+(4x-3)(x+2)
=6x^2+4x+9x+6+4x^2+8x-3x-6
=6-6+(4+9-8-3)x+(6+4)x^2
=2x+10x^2//
收錄日期: 2021-04-13 19:01:21
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