分解因式题
北师大初二数学p56习题2.2(1)a^2-81(2)36-x^231-16b^24m^2-9n^50.25q^2-121p^26169x^2-4y^279a^2p^2-...
北师大初二数学
p56习题2.2
(1)a^2-81
(2)36-x^2
3 1-16b^2
4 m^2-9n^
5 0.25q^2-121p^2
6 169x^2-4y^2
7 9a^2p^2-b^2q^2
8 449a^2-x^2y^ 展开
p56习题2.2
(1)a^2-81
(2)36-x^2
3 1-16b^2
4 m^2-9n^
5 0.25q^2-121p^2
6 169x^2-4y^2
7 9a^2p^2-b^2q^2
8 449a^2-x^2y^ 展开
5个回答
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a^2-81=(a-9)(a+9)
36-x^2=(6-x)(6+x)
1-16b^2=(1-4b)(1+4b)
m^2-9n^2=(m-3n)(m+3n)
0.25q^2-121p^2=(0.5q-11p)(0.5q+11p)
169x^2-4y^2=(13x-2y)(13x+2y)
9a^2p^2-b^2q^2=(3ap-bq)(3ap+bq)
49a^2-x^2y^2=(7a-xy)(7a+xy)
(m+n)^2-N^2=(m+n+N)(m+n-N)
49(a-b)^2-16(a+b)^2=(7a-7b-4a-4b)(7a-7b+4a+4b)=(3a-11b)(11a-3b)
(2x+y)^3-(x+2y)^2=(2x+y+x+2y)(2x+y-x-2y)=3(x+y)(x-y)
(x^2+y^2)^2-x^2 y^2=(x^2+y^2+xy)(x^+y^2-xy)
3ax^2-3ay^4=3a(x+y^2)(x-y^2)
p^4-1=(p^2-1)(p^2+1)=(p-1)(p+1)(p^2+1)
36-x^2=(6-x)(6+x)
1-16b^2=(1-4b)(1+4b)
m^2-9n^2=(m-3n)(m+3n)
0.25q^2-121p^2=(0.5q-11p)(0.5q+11p)
169x^2-4y^2=(13x-2y)(13x+2y)
9a^2p^2-b^2q^2=(3ap-bq)(3ap+bq)
49a^2-x^2y^2=(7a-xy)(7a+xy)
(m+n)^2-N^2=(m+n+N)(m+n-N)
49(a-b)^2-16(a+b)^2=(7a-7b-4a-4b)(7a-7b+4a+4b)=(3a-11b)(11a-3b)
(2x+y)^3-(x+2y)^2=(2x+y+x+2y)(2x+y-x-2y)=3(x+y)(x-y)
(x^2+y^2)^2-x^2 y^2=(x^2+y^2+xy)(x^+y^2-xy)
3ax^2-3ay^4=3a(x+y^2)(x-y^2)
p^4-1=(p^2-1)(p^2+1)=(p-1)(p+1)(p^2+1)
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(1)a^2-81
=(a-9)(a+9)
(2)36-x^2
=(6-x)(6+x)
3 1-16b^2
=(1-4b)(1+4b)
4 m^2-9n^2
=(m-3n)(m+3n)
5 0.25q^2-121p^2
=(0.5q-11p)(0.5q+11p)
6 169x^2-4y^2
=(13x-2y)(13x+2y)
7 9a^2p^2-b^2q^2
=(3ap-bq)(3ap+bq)
8 49a^2-x^2y^2
=(7a-xy)(7a+xy)
=(a-9)(a+9)
(2)36-x^2
=(6-x)(6+x)
3 1-16b^2
=(1-4b)(1+4b)
4 m^2-9n^2
=(m-3n)(m+3n)
5 0.25q^2-121p^2
=(0.5q-11p)(0.5q+11p)
6 169x^2-4y^2
=(13x-2y)(13x+2y)
7 9a^2p^2-b^2q^2
=(3ap-bq)(3ap+bq)
8 49a^2-x^2y^2
=(7a-xy)(7a+xy)
追问
(m+n)^2-N^2
49(a-b)^2-16(a+b)^2
(2x+y)^3-(x+2y)^2
(x^2+y^2)^2-x^2 y^2
3ax^2-3ay^4
p^4-1
谢谢~
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1.(a+9)(a-9)
2.(6+x)(6-x)
3.(1+4b)(1-4b)
4.(2m+3n)(2m-3n)
5.(0.5q+11p)(0.5q-11p)
6.(13x+2y)(13x-2y)
7.(3ap+bq)(3ap-bq)
8.(√449a+xy)(√449a-xy)
谢谢……
2.(6+x)(6-x)
3.(1+4b)(1-4b)
4.(2m+3n)(2m-3n)
5.(0.5q+11p)(0.5q-11p)
6.(13x+2y)(13x-2y)
7.(3ap+bq)(3ap-bq)
8.(√449a+xy)(√449a-xy)
谢谢……
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(1)a^2-81=(a+9)(a-9)
(2)36-x^2=(6+x)(6-x)
3 1-16b^2=(1+4b)(1-4b)
4 m^2-9n^2=(m+3n)(m-3n)
5 0.25q^2-121p^2=(0.5q+11p)(0.5q-11p)
6 169x^2-4y^2=(13x+2y)(13x-2y)
7 9a^2p^2-b^2q^2=(3ap+bq)(3ap-bq)
8 49a^2-x^2y^2=(7a+xy)(7a-xy)
(m+n)^2-N^2=(m+n+N)(m+n-N)
49(a-b)^2-16(a+b)^2=[7(a-b)+4(a+b)][7(a-b)-4(a+b)]=(11a-3b)(3a-11b)
(2x+y)^2-(x+2y)^2=[(2x+y)+(x+2y)][(2x+y)-(x+2y)]=(3x+3y)(x-y)=3(x+y)(x-y)
(x^2+y^2)^2-x^2 y^2=(x²+y²+xy)(x²+y²-xy)
3ax^2-3ay^4=3a(x²-y^4)=3a(x+y²)(x-y²)
p^4-1=(p²+1)(p²-1)=(p²+1)(p+1)(p-1)
(2)36-x^2=(6+x)(6-x)
3 1-16b^2=(1+4b)(1-4b)
4 m^2-9n^2=(m+3n)(m-3n)
5 0.25q^2-121p^2=(0.5q+11p)(0.5q-11p)
6 169x^2-4y^2=(13x+2y)(13x-2y)
7 9a^2p^2-b^2q^2=(3ap+bq)(3ap-bq)
8 49a^2-x^2y^2=(7a+xy)(7a-xy)
(m+n)^2-N^2=(m+n+N)(m+n-N)
49(a-b)^2-16(a+b)^2=[7(a-b)+4(a+b)][7(a-b)-4(a+b)]=(11a-3b)(3a-11b)
(2x+y)^2-(x+2y)^2=[(2x+y)+(x+2y)][(2x+y)-(x+2y)]=(3x+3y)(x-y)=3(x+y)(x-y)
(x^2+y^2)^2-x^2 y^2=(x²+y²+xy)(x²+y²-xy)
3ax^2-3ay^4=3a(x²-y^4)=3a(x+y²)(x-y²)
p^4-1=(p²+1)(p²-1)=(p²+1)(p+1)(p-1)
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1.(a-9)(a+9)
2.(6-x)(6+x)
3.(1+4b)(1-4b)
4..(m+3n)(m-3n)
5..(0.5q+11p)(0.5q-11p)
6.(13x+2y)(13x-2y)
7.(3ap+bq)(3ap-bq)
8好像题目错了哦
2.(6-x)(6+x)
3.(1+4b)(1-4b)
4..(m+3n)(m-3n)
5..(0.5q+11p)(0.5q-11p)
6.(13x+2y)(13x-2y)
7.(3ap+bq)(3ap-bq)
8好像题目错了哦
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