分解因式 (1)x^2+12xy+36y^2 (2)1-8xy^2+16x^2y^4 (3)(m-n)^2-10(n-m)+25 (x+y)^2-2(x+y)(x-y)+(x-y)^2
分解因式(1)x^2+12xy+36y^2(2)1-8xy^2+16x^2y^4(3)(m-n)^2-10(n-m)+25(4)(x+y)^2-2(x+y)(x-y)+(...
分解因式 (1)x^2+12xy+36y^2 (2)1-8xy^2+16x^2y^4 (3)(m-n)^2-10(n-m)+25 (4)(x+y)^2-2(x+y)(x-y)+(x-y)^2
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x^2+12xy+36y^2
=x^2+2*x*(6y)+(6y)^2
=(x+6y)^2
1-8xy^2+16x^2y^4
=1-2*4xy^2+(4xy^2)^2
=(1-4xy^2)^2
(m-n)^2-10(n-m)+25
=(m-n)^2+2*(m-n)*5+5^2
=(m-n+5)^2
(x+y)^2-2(x+y)(x-y)+(x-y)^2
=[(x+y)-(x-y)]^2
=(x+y-x+y)^2
=4y^2
不懂可追问
满意请采纳
谢谢
=x^2+2*x*(6y)+(6y)^2
=(x+6y)^2
1-8xy^2+16x^2y^4
=1-2*4xy^2+(4xy^2)^2
=(1-4xy^2)^2
(m-n)^2-10(n-m)+25
=(m-n)^2+2*(m-n)*5+5^2
=(m-n+5)^2
(x+y)^2-2(x+y)(x-y)+(x-y)^2
=[(x+y)-(x-y)]^2
=(x+y-x+y)^2
=4y^2
不懂可追问
满意请采纳
谢谢
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