作业帮运用乘法公式进行计算1.（X-2Y)^2+(X+2Y)^2=2.(X-1)(1-X)=3.(a+b+c)(a+b-c)=
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/04/29 19:01:46
运用乘法公式进行计算
1.（X-2Y)^2+(X+2Y)^2=
2.(X-1)(1-X)=
3.(a+b+c)(a+b-c)=
4.（三分之二a-二分之三b）^2=
5.(a-b-c)^2=
6.(1+2a)(1-2a)(1+4a^2)=
以上题目只要最简值..无需过程
7.9999×9999=
8.0.999×1.001=
9.（X+Y)^2(X-Y)^2=
10.(a-2b+3c)^2=
11.(3X-2Y+4)(3X+2Y-4)-(3X+2Y+4)^2=
以上几道题需要过程
别告诉我 ^2 什么什么的平方你看不懂...
1.（X-2Y)^2+(X+2Y)^2=
2.(X-1)(1-X)=
3.(a+b+c)(a+b-c)=
4.（三分之二a-二分之三b）^2=
5.(a-b-c)^2=
6.(1+2a)(1-2a)(1+4a^2)=
以上题目只要最简值..无需过程
7.9999×9999=
8.0.999×1.001=
9.（X+Y)^2(X-Y)^2=
10.(a-2b+3c)^2=
11.(3X-2Y+4)(3X+2Y-4)-(3X+2Y+4)^2=
以上几道题需要过程
别告诉我 ^2 什么什么的平方你看不懂...
1.（X-2Y)^2+(X+2Y)^2
=(x-2y)(x-2y+x+2y)-(x+2y)(x-2y-x-2y)
=2x(x-2y)+4y(x+2y)
=2x^2-4xy+4xy+8y^2
=2x^2+8y^2
2.(X-1)(1-X)
=-(x-1)(x-1)
=-(x-1)^2
3.(a+b+c)(a+b-c)
=[(a+b)+c][(a+b)-c]
=(a+b)^2-c^2
=a^2+2ab+b^2-c^2
4.（三分之二a-二分之三b）^2
=(4a/6-9b/6)^2
=[(4a-9b)/6]^2
=(16a^2-72ab+81b^2)/36
=4a^2/9-2ab+9b^2/4
5.(a-b-c)^2
=[(a-b)-c]^2
=(a-b)^2-2c(a-b)+c^2
=a^2-2ab+b^2-2ac+2bc+c^2
6.(1+2a)(1-2a)(1+4a^2)
=(1-4a^2)(1+4a^2)
=1-16a^4
7.9999×9999
=(10000-1)×(10000-1)
=10000^2-2×10000+1
=100000000-20000+1
=99980001
8.0.999×1.001
=(1-0.001)×(1+0.001)
=1-0.001^2
=1-0.000001
=0.999999
9.（X+Y)^2(X-Y)^2
=(x+y)(x-y)(x+y)(x-y)
=(x^2-y^2)(x^2-y^2)
=x^4-2x^2y^2+y^4
10.(a-2b+3c)^2
=[(a-2b)+3c]^2
=(a-2b)^2+6c(a-2b)+9c^2
=a^2-4ab+4b^2+6ac-12bc+9c^2
11.(3X-2Y+4)(3X+2Y-4)-(3X+2Y+4)^2
=[3x-(2y-4)][3x+(2y-4)]-[3x+(2y+4)]^2
=9x^2-(4y^2-16y+16)-[9x^2+6x(2y+4)+4y^2+16y+16)]
=9x^2-4y^2+16y-16-9x^2-6x(2y+4)-4y^2-16y-16
=-6x(2y+4)-8y^2-32
=-12xy-24x-8y^2-32
=(x-2y)(x-2y+x+2y)-(x+2y)(x-2y-x-2y)
=2x(x-2y)+4y(x+2y)
=2x^2-4xy+4xy+8y^2
=2x^2+8y^2
2.(X-1)(1-X)
=-(x-1)(x-1)
=-(x-1)^2
3.(a+b+c)(a+b-c)
=[(a+b)+c][(a+b)-c]
=(a+b)^2-c^2
=a^2+2ab+b^2-c^2
4.（三分之二a-二分之三b）^2
=(4a/6-9b/6)^2
=[(4a-9b)/6]^2
=(16a^2-72ab+81b^2)/36
=4a^2/9-2ab+9b^2/4
5.(a-b-c)^2
=[(a-b)-c]^2
=(a-b)^2-2c(a-b)+c^2
=a^2-2ab+b^2-2ac+2bc+c^2
6.(1+2a)(1-2a)(1+4a^2)
=(1-4a^2)(1+4a^2)
=1-16a^4
7.9999×9999
=(10000-1)×(10000-1)
=10000^2-2×10000+1
=100000000-20000+1
=99980001
8.0.999×1.001
=(1-0.001)×(1+0.001)
=1-0.001^2
=1-0.000001
=0.999999
9.（X+Y)^2(X-Y)^2
=(x+y)(x-y)(x+y)(x-y)
=(x^2-y^2)(x^2-y^2)
=x^4-2x^2y^2+y^4
10.(a-2b+3c)^2
=[(a-2b)+3c]^2
=(a-2b)^2+6c(a-2b)+9c^2
=a^2-4ab+4b^2+6ac-12bc+9c^2
11.(3X-2Y+4)(3X+2Y-4)-(3X+2Y+4)^2
=[3x-(2y-4)][3x+(2y-4)]-[3x+(2y+4)]^2
=9x^2-(4y^2-16y+16)-[9x^2+6x(2y+4)+4y^2+16y+16)]
=9x^2-4y^2+16y-16-9x^2-6x(2y+4)-4y^2-16y-16
=-6x(2y+4)-8y^2-32
=-12xy-24x-8y^2-32
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