(1) 4x²-16 (2) xy-9x³y (3) 12abc-3bc² (4) a⁴—16b⁴(5) 4(x+y)²-9(x-y)² (6) 16a²+24a+9 (7) 4m²-12mn+9n² (8) 4\25x²+4xy+25y² (9) -a²+4ab-4b² b (10) (x+y)²-2(x+y)+1化简求值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/20 03:56:04
(1)4x²-16(2)xy-9x³y(3)12abc-3bc²(4)a⁴—16b⁴(5)4(x+y)²-9(x-y)²(6)

(1) 4x²-16 (2) xy-9x³y (3) 12abc-3bc² (4) a⁴—16b⁴(5) 4(x+y)²-9(x-y)² (6) 16a²+24a+9 (7) 4m²-12mn+9n² (8) 4\25x²+4xy+25y² (9) -a²+4ab-4b² b (10) (x+y)²-2(x+y)+1化简求值
(1) 4x²-16 (2) xy-9x³y (3) 12abc-3bc² (4) a⁴—16b⁴
(5) 4(x+y)²-9(x-y)² (6) 16a²+24a+9 (7) 4m²-12mn+9n²
(8) 4\25x²+4xy+25y² (9) -a²+4ab-4b² b (10) (x+y)²-2(x+y)+1
化简求值:
(2x+3y)²-(2x+3y)(2x-y) 其中:x=1\2,y=1\3

(1) 4x²-16 (2) xy-9x³y (3) 12abc-3bc² (4) a⁴—16b⁴(5) 4(x+y)²-9(x-y)² (6) 16a²+24a+9 (7) 4m²-12mn+9n² (8) 4\25x²+4xy+25y² (9) -a²+4ab-4b² b (10) (x+y)²-2(x+y)+1化简求值
你都不会?

(1) (2x-4)(2x+4)根据平方差公式 (2) xy(1-9x²)=xy(1-3x)(1+3x) (3) 3bc(4a-c)
(4)(a²-4b²)(a²+4b²)=(a-b)(a+b)(a²+4b²) (5)4x²+8xy+4y² -9x²+18x...

全部展开

(1) (2x-4)(2x+4)根据平方差公式 (2) xy(1-9x²)=xy(1-3x)(1+3x) (3) 3bc(4a-c)
(4)(a²-4b²)(a²+4b²)=(a-b)(a+b)(a²+4b²) (5)4x²+8xy+4y² -9x²+18xy-9y²=-5x²-26xy-5y²
=(-5x+y)(x-5y) (6)(4a+3)² (7)(2m-3n)² (8)4/25x²+4xy+25y=(2/5x+5y)^2
(9)-a²+4ab-4b²b=-(a-2b)^2
(10)(x+y)²-2(x+y)+1=(x+y-1)^2
打字很辛苦绝对正确······希望采纳

收起

这肯定是作业要写不完了的同学。
1.(2x-4)(2x+4)=4(x+2)(x-2)
2.xy(1-9x)=xy(1-3x)(1+3x)
3.3bc(4a-c)
4.(a^2-4b^2)(a^2+4b^2)=(a-2b)(a+2b)(a^2+4b^2)
5.(2x+2y-3x+3y)(2x+2y+3x-3y)=(5y-x)(5x-y)
6.(4a+3...

全部展开

这肯定是作业要写不完了的同学。
1.(2x-4)(2x+4)=4(x+2)(x-2)
2.xy(1-9x)=xy(1-3x)(1+3x)
3.3bc(4a-c)
4.(a^2-4b^2)(a^2+4b^2)=(a-2b)(a+2b)(a^2+4b^2)
5.(2x+2y-3x+3y)(2x+2y+3x-3y)=(5y-x)(5x-y)
6.(4a+3)^2
7.(2m-3n)^2
8.(2/5x+5y)^2
9.-(a-2b)^2
10.(x+y-1)^2
11.(2x+3y)(2x+3y-2x+y)=4y(2x+3y)=8/3
没有中间过程的都是可以一步得到答案的
谢了楼下~

收起

楼上有题写错了
(1)4x²-16=4(x+2)(x-2)
(2)xy-9x³y=xy(1-3x)(1+3x)
(3)12abc-3bc²=3bc(4a-c)
(4)a^4-16b^4=(a^2+4b)(a+2b)(a-2b)
(5)4(x+y)²-9(x-y)²
=(2x+2y)^2-(3x-3y)...

全部展开

楼上有题写错了
(1)4x²-16=4(x+2)(x-2)
(2)xy-9x³y=xy(1-3x)(1+3x)
(3)12abc-3bc²=3bc(4a-c)
(4)a^4-16b^4=(a^2+4b)(a+2b)(a-2b)
(5)4(x+y)²-9(x-y)²
=(2x+2y)^2-(3x-3y)^2
=(2x+2y+3x-3y)(2x+2y-3x+3y)
=(5x-y)(5y-x)
(6)16a²+24a+9
=(4a+3)^2
(7)4m²-12mn+9n²
=(2m-3n)^2
(8)4/25x²+4xy+25y
=(2/5x+5y)^2
(9)-a²+4ab-4b²b
=-(a-2b)^2
(10)(x+y)²-2(x+y)+1
=(x+y-1)^2
(11)(2x+3y)²-(2x+3y)(2x-y)
=(2x+3y)(2x+3y-2x+y)
=(2x+3y)4y
x=1\2,y=1\3
=(1+1)4/3=8/3
~望采纳

收起

(1) 4x²-16=4﹙x²-4﹚=4﹙x+2﹚﹙x-2﹚
(2) xy-9x³y=xy﹙1-9x²﹚=xy﹙1+3x﹚﹙1-3x﹚
(3) 12abc-3bc² =3bc﹙4a-c﹚
(4) a⁴—16b⁴=﹙a²+4b²﹚a²-4b...

全部展开

(1) 4x²-16=4﹙x²-4﹚=4﹙x+2﹚﹙x-2﹚
(2) xy-9x³y=xy﹙1-9x²﹚=xy﹙1+3x﹚﹙1-3x﹚
(3) 12abc-3bc² =3bc﹙4a-c﹚
(4) a⁴—16b⁴=﹙a²+4b²﹚a²-4b²﹚=﹙a²+4b²﹚﹙a+2b﹚﹙a-2b﹚
(5) 4(x+y)²-9(x-y)²
=[2﹙x+y﹚+3﹙x-y﹚][2﹙x+y﹚-3﹙x-y﹚] =﹙5x-y﹚﹙5y-x ﹚
(6) 16a²+24a+9 =﹙4a+3﹚²
(7) 4m²-12mn+9n²=﹙2m-3n﹚²
(8) 4\25x²+4xy+25y²=﹙2x/5+5y﹚²
(9) -a²+4ab-4b²=-﹙a²-4ab+4b²﹚=-﹙a-2b﹚²
(10) (x+y)²-2(x+y)+1=﹙x+y-1﹚²
(2x+3y)²-(2x+3y)(2x-y) =﹙2x+3y﹚[﹙2x+3y﹚-﹙2x-y﹚]=4y﹙2x+3y﹚
当x=1\2,y=1\3时
原式=4×⅓﹙2×½+3×⅓﹚=8/3

收起