分解因式题:x²-2x-15 (x+p)²-(x+q)² 3ax+4by+4ay+3bx
2个回答

x²-2x-15 先说这一道

=x²-2x+1-1-15

=(x-1)²-16

=(x-1)²-4²

=(x-1+4)(x-1-4)

=(x+3)(x-5)

(x+p)²-(x+q)² 再是这道题

=(x+p+x+q)(x+p-x-q)

=(2x+p+q)(p-q)

3ax+4by+4ay+3bx 最后这道有好几种解法:

普通法:=3ax+3bx4ay+4by

=3x(a+b)+4y(a+b)

=(a+b)(3x+4y)

十字相乘法:3ax+4by+4ay+3bx

=3ax+4ay+3bx+4by

a b

3x 4y

=(a+b)(3x+4y)