因式分解(过程) 4(m+n)^2-4(m+n)+1 x^4-y^4 9(a+b)^2-12(a^2-b^2)+4(a-b)^2 a^2+b^2+2ab+2a+2b+14(m+n)^2-4(m+n)+1x^4-y^49(a+b)^2-12(a^2-b^2)+4(a-b)^2a^2+b^2+2ab+2a+2b+1
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![因式分解(过程) 4(m+n)^2-4(m+n)+1 x^4-y^4 9(a+b)^2-12(a^2-b^2)+4(a-b)^2 a^2+b^2+2ab+2a+2b+14(m+n)^2-4(m+n)+1x^4-y^49(a+b)^2-12(a^2-b^2)+4(a-b)^2a^2+b^2+2ab+2a+2b+1](/uploads/image/z/4528663-7-3.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%88%E8%BF%87%E7%A8%8B%EF%BC%89+4%28m%2Bn%29%5E2-4%28m%2Bn%29%2B1+x%5E4-y%5E4+9%28a%2Bb%29%5E2-12%28a%5E2-b%5E2%29%2B4%28a-b%29%5E2+a%5E2%2Bb%5E2%2B2ab%2B2a%2B2b%2B14%28m%2Bn%29%5E2-4%28m%2Bn%29%2B1x%5E4-y%5E49%28a%2Bb%29%5E2-12%28a%5E2-b%5E2%29%2B4%28a-b%29%5E2a%5E2%2Bb%5E2%2B2ab%2B2a%2B2b%2B1)
因式分解(过程) 4(m+n)^2-4(m+n)+1 x^4-y^4 9(a+b)^2-12(a^2-b^2)+4(a-b)^2 a^2+b^2+2ab+2a+2b+14(m+n)^2-4(m+n)+1x^4-y^49(a+b)^2-12(a^2-b^2)+4(a-b)^2a^2+b^2+2ab+2a+2b+1
因式分解(过程) 4(m+n)^2-4(m+n)+1 x^4-y^4 9(a+b)^2-12(a^2-b^2)+4(a-b)^2 a^2+b^2+2ab+2a+2b+1
4(m+n)^2-4(m+n)+1
x^4-y^4
9(a+b)^2-12(a^2-b^2)+4(a-b)^2
a^2+b^2+2ab+2a+2b+1
因式分解(过程) 4(m+n)^2-4(m+n)+1 x^4-y^4 9(a+b)^2-12(a^2-b^2)+4(a-b)^2 a^2+b^2+2ab+2a+2b+14(m+n)^2-4(m+n)+1x^4-y^49(a+b)^2-12(a^2-b^2)+4(a-b)^2a^2+b^2+2ab+2a+2b+1
因式分解(过程)
4(m+n)^2-4(m+n)+1
解,得:
==[2(m+n)-1]^2
==(2m+2n-1)^2
x^4-y^4
解,得:
==(x^2+y^2)(x^2-y^2)
==(x^2+y^2)(x+y)(x-y)
9(a+b)^2-12(a^2-b^2)+4(a-b)^2
解,得:
==[3(a+b)-2(a-b)]^2
==(3a+3b-2a+2b)^2
==(a+5b)^2
a^2+b^2+2ab+2a+2b+1
解,得:
== a2+b2+2ab+2a+2b+1
==(a+b)2+2(a+b)+1
==(a+b+1)2