十字相乘法的代数题10道，分组分乘法的10题

十字相乘法:
1 x2-2x-35
=(x+5)(x-7)

2 x2+11x+10
=(x+1)(x+10)

3 a2-4a-21
=(a-7)(a+3)

4 m2-10mn+9n2
=(m-n)(m-9n)

5 2x2+5x+2
=(x+2)(2x+1)

6 3x2+x-2
=(x+1)(3x-2)

7 t2-7t+6
=(t-1)(t-6)

8 a2b2-4ab-5
=(ab)2-4ab-5
=(ab+1)(ab+5)

9 x2+8x+15
=(x+3)(x+5)

10 x2+2x-15
=(x-3)(x+5)

分组分解法:
1 4x2-a2-6a-9
=4x2-(a2+6a+9)
=4a2-(a+3)2
=(2x+a+3)(2x-a-3)

2 x2-y2+ax+ay
=(x+y)(x-y)+a(x+y)
=(x-y+a)(x+y)

3 p-q+k(p-q)
=(1+k)(p-q)

4 a2+2ab-ac-2ab
=(a2+2ab)-(ac+2bc)
=a(a+2b)-c(a+2b)
=(a-c)(a+2b)

5 5m(m-n)+5n(n-m)
=5m(m-n)-5n(m-n)
=(5m-5n)(m-n)
=5(m-n)2

6 a2-b2-c2+2bc
=a2-(b-c)2
=(a+b-c)(a-b+c)

7 m2+4n+4m+n2+4mn
=m2+n2+2mn+4m+4n
=(m+n)2+(4m+4n)
=(m+n)2+4(m+n)
=(m+n+4)(m+n)