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分解因式1-36b^2,12x^2-3y^2,0.49p^2-144,(2x+y)^2-(x+2y)^2

题目详情
分解因式1-36b^2 ,12x^2-3y^2 ,0.49p^2-144,(2x+y)^2-(x+2y)^2
▼优质解答
答案和解析
1-36b^2=1-(6b)^2=(1+6b)(1-6b)
12x^2-3y^2=3(4x^2-y^2)=3(2x+y)(2x-y)
0.49p^2-144=(0.7p)^2-12^2=(0.7p+12)(0.7-12)
(2x+y)^2-(x+2y)^2=[(2x+y)+(x+2y)][(2x+y)-(x+2y)]
=[2x+y+x+2y][2x+y-x-2y]
=(3x+3y)(x-y)