1. ㎡(p-q)-p+q;
=㎡(p-q)-(p-q)
=(㎡-1)(p-q)
㎡=m*m=m^2 一般都这样打,平方不好写那个角标
2.a(ab+bc+ac)-abc;
=a^2b+abc+a^2c-abc
=a^2(b+c)
3.x4-2y4-2x3y+xy3;
这个你写的有问题,我不知道是4次方还是什么,你改一下
4.abc(a2+b2+c2)-a3bc+2ab2c2;
将括号展开
=a3bc+ab3c+abc3-a3bc+2ab2c2
=abc(b2+2bc+c2)
=abc(b+c)^2
你是不会还是怎么了?这些题都不难,将式子展开,括号的都乘出来,再将公因式提出来,就是答案,都是一个类型的,你哪不懂我给你讲,题要自己做才能学会。
1. ㎡(p-q)-p+q
=( ㎡-1)(p-q)
=(m+1)(m-1)(p-q)
2.a(ab+bc+ac)-abc
=a(ab+bc+ac-bc)
=a²(b+c)
3.x4-2y4-2x³y+xy³
=x³(x-2y)+y³(x-2y)
=(x-2y)(x+y)(x²-xy+y²)
4.abc(a²+b²+c²)-a³bc+2ab²c²
=abc(a²+b²+c²-a²-2bc)
=abc(b-c)²
5.a²(b-c)+b²(c-a)+c²(a-b)
=a²b-a²c+b²c-ab²+c²(a-b)
=(a-b)(ab-ca-cb+c²)
=(a-b)(a-c)(b-c)
6.(x²-2x)²+2x(x-2)+1
=(x²-2x+1)²
=(x-1)^4
7.(x-y)²+12(y-x)z+36z²
=(x-y-6z)²
8.x²-4ax+8ab-4b²
=(x+2b)(x-2b)-4a(x-2b)
=(x-2b)(x+2b-4a)
9.(ax+by)²+(ay-bx)²+2(ax+by)(ay-bx)
=(ax+by+ay-bx)²
10.(1-a²)(1-b²)-(a²-1)²(b²-1)²
=(a²-1)(b²-1)[1-(a²-1)(b²-1)]
=(a+1)(a-1)(b+1)(b-1)[1-a²b²+a²+b²-1]
=(a+1)(a-1)(b+1)(b-1)(a²-a²b²+b²)