分解因式:(1)1-36b² (2) 12x²-3y² (3)0.49p²-分解因式:(1)1-36b² (2) 12x²-3y² (3)0.49p²-114 (4) (2x+y)²-(x+2y)²
问题描述：
分解因式:(1)1-36b² (2) 12x²-3y² (3)0.49p²-
分解因式:(1)1-36b² (2) 12x²-3y² (3)0.49p²-114 (4) (2x+y)²-(x+2y)²
答
解1-36b^2=1^2-(6b)^2=(1-6b)(1+6b)12x^2-3y^2=3(4x^2-y^2)=3(2x-y)(2x+y)0.49p^2-144——这个吧=(0.7p)^2-(12)^2=(0.7p-12)(0.7p+12)原式=[(2x+y)-(x+2y)][(2x+y)+(x+2y)]=(x-y)(3x+3y)=3(x-y)(x+y)