分解因式:① 1-36b²;② 12x-3y² ;③ 0.49p²-144;④ (2x+y)²-(x+2y)²
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![分解因式:① 1-36b²;② 12x-3y² ;③ 0.49p²-144;④ (2x+y)²-(x+2y)²](/uploads/image/z/1333546-34-6.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A%E2%91%A0+1-36b%26%23178%3B%EF%BC%9B%E2%91%A1+12x-3y%26%23178%3B+%EF%BC%9B%E2%91%A2+0.49p%26%23178%3B-144%EF%BC%9B%E2%91%A3+%EF%BC%882x%EF%BC%8By%EF%BC%89%26%23178%3B-%EF%BC%88x%EF%BC%8B2y%EF%BC%89%26%23178%3B)
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分解因式:① 1-36b²;② 12x-3y² ;③ 0.49p²-144;④ (2x+y)²-(x+2y)²
分解因式:① 1-36b²;② 12x-3y² ;③ 0.49p²-144;④ (2x+y)²-(x+2y)²
分解因式:① 1-36b²;② 12x-3y² ;③ 0.49p²-144;④ (2x+y)²-(x+2y)²
① 1-36b²
=(1+6b)(1-6b)
② 12x-3y²
=3(4x-y²)
③ 0.49p²-144
=(0.7p+12)(0.7p-12)
④ (2x+y)²-(x+2y)²
=(2x+y)²-(x+2y)²
=4x²+y²+4xy-x²-4xy-4y²
=3x²-3y²
=3(x²-y²)
=3(x+y)(x-y)
① 1-36b²=﹙1+6b﹚﹙1-6b﹚;
② 12x²-3y²=3﹙4x²-y²﹚=3﹙2x+y﹚﹙2x-y﹚ ;
③ 0.49p²-144=﹙0.7p+12﹚﹙0.7p-12﹚;
④ (2x+y)²-(x+2y)²=[(2x+y)+ (x+2y)][(2x+y)- (x+2y)] =﹙3x...
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① 1-36b²=﹙1+6b﹚﹙1-6b﹚;
② 12x²-3y²=3﹙4x²-y²﹚=3﹙2x+y﹚﹙2x-y﹚ ;
③ 0.49p²-144=﹙0.7p+12﹚﹙0.7p-12﹚;
④ (2x+y)²-(x+2y)²=[(2x+y)+ (x+2y)][(2x+y)- (x+2y)] =﹙3x+3y﹚﹙x-y﹚=3﹙x+y﹚﹙x-y﹚
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