Question

送分咯！ 初二分解因式 在线等

【1】（m+n)^2-n^2

【2】 49(a-b)^-16（a+b）^2

【3】（2x+y）^2-（x+2y）^2

【4】（x^2+y^2）^2-x^2*y^2

【5】 3ax^2-3ay^4

【6】p^4-1

Answer 1

标准答案来了
【1】（m+n)^2-n^2
=[(m+n)+n]*[(m+n)-n]
=(m+2n)*(m)
=m(m+2n)

【2】 49(a-b)^-16（a+b）^2
=[7(a-b)]^2-[4(a+b)]^2
=[7a-7b]^2-[4a+4b]^2
=[7a-7b+(4a+4b)]*[7a-7b-(4a+4b)]
=(11a-3b)*(7a-7b-4a-4b)
=(11a-3b)(3a-11b)

【3】（2x+y）^2-（x+2y）^2
=[(2x+y)+(x+2y)]*[(2x+y)-(x+2y)]
=(2x+y+x+2y)*(2x+y-x-2y)
=(3x+3y)*(x-y)
=3(x+y)(x-y)

【4】（x^2+y^2）^2-x^2*y^2
=(x^2+y^2)^2-(xy)^2
=(x^2+y^2+xy)(x^2+y^2-xy)

【5】 3ax^2-3ay^4
=3a(x^2-y^4)
=3a[x^2-(y^2)^2]
=3a(x+y^2)(x-y^2)

【6】p^4-1
=(p^2)^2-1
=(p^2+1)(p^2-1)
=(p^2+1)(p+1)(p-1)

应该都对呢

Answer 2

【1】（m+n)^2-n^2
=(m+n+n)(m+n-n)
=m(m+2n)

【2】 49(a-b)^-16（a+b）^2
=(7a-7b)^2-(4a+4b)^2
=(7a-7b+4a+4b)(7a-7b-4a-4b)
=(11a-3b)(3a-11b)

【3】（2x+y）^2-（x+2y）^2
=(2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)

【4】（x^2+y^2）^2-x^2*y^2
=(x^2+y^2)^2-(xy)^2
=(x^2+y^2+xy)(x^2+y^2-xy)

【5】 3ax^2-3ay^4
=3a(x^2-y^4)
=3a(x+y^2)(x-y^2)
【6】p^4-1
=(p^2+1)(p^2-1)
=(p^2+1)(p+1)(p-1)

Answer 3

【1】（m+n)^2-n^2
=(m+n+n)(m+n-n)
=m(m+2n)

【2】 49(a-b)^-16（a+b）^2
=[7(a-b)+4(a+b)][7(a-b)-4(a+b)]
=(11a-3b)(3a-11b)

【3】（2x+y）^2-（x+2y）^2
=(2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)

【4】（x^2+y^2）^2-x^2*y^2
=(x^2+y^2+xy)(x^2+y^2-xy)

【5】 3ax^2-3ay^4
=3a(x^2-y^4)
=3a(x+y^2)(x-y^2)

【6】p^4-1
=(p^2+1)(p^2-1)
=(p^2+1)(p-1)(p+1)

Answer 4

1.（m+n)^2-n^2 =(m+n-n)(m+n+n)=m(m+2n)

2.49(a-b)^-16（a+b）^2 =(7a-7b-4a-4b)(7a-7b+4a+4b)
=(3a-11b)(11a-3b)
3.（2x+y）^2-（x+2y）^2 =(2x+y-x-2y)(2x+y-+x+2y)
=3(x-y)(x+y)
4.（x^2+y^2）^2-x^2*y^2 =(x^2-y^2)^2
=[(x+y)(x-y)]^2
5. 3ax^2-3ay^4 =3a(x^2-y^4)
=3a(x+y^2)(x-y^2)
6.p^4-1=(p^2+1)(p^2-1)
=(p^2+1)(p+1)(p-1)

Answer 5

1．m^2+2mn+n^2-n^2=m^2+2mn
2.
3. 4x^2+4xy+y^2-x^2-4xy-4y^2=3x^2-3y^2
4. x^4+2x^2*y^2+4y^4-x^2*y^2=x^4+x^2*y^2+4y^4
5 . 3ax^2-3xy^4=3a(x^2-y^4)=3a(x+y^2)*(x-y^2)
6 . p^4-1=(p^2+1)*(p^2-1)=(p^2+1)*(p+1)*(p-1)

第二道题目好像没有写对吧，你改了再帮你解答啦．

Answer 6

【1】（m+n)^2-n^2
=(m+n+n)(m+n-n)
=m(m+2n)
【2】 49(a-b)^-16（a+b）^2
=(7a-7b+4a+4b)(7a-7b-4a-4b)
=(11a-3b)(-11a-11b)
【3】（2x+y）^2-（x+2y）^2
=(2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
【4】（x^2+y^2）^2-x^2*y^2
=(x^2+y^2+xy)(x^2+y^2-xy)
【5】 3ax^2-3ay^4
=3a(x+y^2)(x-y^2)
【6】p^4-1
=(p^2+1)(p^2-1)
=(p^2+1)(p+1)(p-1)