几道数学题!用因式分解做~

Question

m^2-n^2+2m-2n

x^2+x-m^2+m

a^2-b^2-2a+1

(ax+by)^2+(bx-ay)^2

(a+b)^2-4(a^2-b^2)+4(a-b)^2

Answer 1

m^2-n^2+2m-2n

=[m+n][m-n]+2[m-n]
=[m-n][m+n+2]

x^2+x-m^2+m
=[x+m][x-m]+[x+m]
=[x+m][x-m+1]

a^2-b^2-2a+1
=[a-1]^2-b^2
=[a-b-1][a+b-1]

(ax+by)^2+(bx-ay)^2
=a^2x^2+b^2y^2+2abxy+b^2x^2+a^2y^2-2abxy
=x^2[a^2+b^2]+y^2[b^2+a^2]
=[a^2+b^2][x^2+y^2]

(a+b)^2-4(a^2-b^2)+4(a-b)^2
=[a+b]^2-4[a+b][a-b]+4[a-b]^2
=[(a+b)-2(a-b)]^2
=[(3b-a)]^2

其实这几道题目很简单，相信你一定是可以做得出的，好好努力吧，会取得好的成绩的。

Answer 2

这几道题的饿答案如下，请看
m^2-n^2+2m-2n
=(m-n)(m+n)+2(m-n)
=(m-n)(m+n+2)

x^2+x-m^2+m
=(x-m)(x+m)+x+m
=(x-m+1)(x+m)

a^2-b^2-2a+1
=(a-1)^2-b^2
=(a-1-b)(a-1+b)

(ax+by)^2+(bx-ay)^2
=a^2*x^2+b^2*y^2+b^2*x^2+a^2*y^2
=x^2*(a^2+b^2)+y^2*(a^2+b^2)
=(x^2+y^2)(a^2+b^2)

(a+b)^2-4(a^2-b^2)+4(a-b)^2
=a^2-6ab+9b^2
=(a-3b)^2

Answer 3

(m+n)(m-n)+2(m_n)=(m-n)(m+n+2)
(x+m)(x-m)+(x+m)=(x+m)(x-m+1)
后面自己做吧～！

Answer 4

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

(x+1/2)^2-(m-1/2)^2=(x+m)(x-m+1)

(a-1+b)(a-1-b)

(a^2+b^2)(x^2+y^2)直接拆了算

(a+b+2a-2b)^2=(3a-b)^2

Answer 5

(1)(m+n+1)(m-n)
(2)(m+x)(x-m+1)
(3)(a-1+b)(a-1-b)
(4)(a^2+b^2)(x^2+y^2)
(5)(3b-a)^2

Answer 6

1.=(m+n)(m-n)+2(m-n)=(m-n)(m+n+2)
2.=(x-m)(x+m)+x+m=(x+m)(x-m+1)
3.=(a-1)^2-b^2=(a+b-1)(a-b-1)
4.=a^2x^2+b^2y^2+b^2x^2+a^2y^2=x^2(a^2+b^2)+y^2(a^2+b^2)=(x^2+y^2)(a^2+b^2)
5.=(a+b)^2-2(a+b)[2(a-b)]+[2(a-b)]^2=(a+b-2a+2b)^2=(3b-a)^2