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訣竅 去括號時,若括號前面是負號,括號裡面的每一項都要變號喔!
1
(x + y) + (3x + y)
去括號步驟: = x + y + +
合併同類項: = ( + ) + ( + )
答案: = +
詳解:
= x + y + 3x + y = (x + 3x) + (y + y) = 4x + 2y
2
(2x + y) - (x + 5y)
去括號步驟: = 2x + y + +
合併同類項: = ( + ) + ( + )
答案: = -
詳解:
= 2x + y - x - 5y = (2x - x) + (y - 5y) = x - 4y
3
(x - 2y) - (2x - 3y)
去括號步驟: = x - 2y + +
合併同類項: = ( + ) + ( + )
答案: = +
詳解:
= x - 2y - 2x + 3y = (x - 2x) + (-2y + 3y) = -x + y
4
(3x + 4y - 5) - (8x - y - 4)
詳解:(答案是 A)
= 3x + 4y - 5 - 8x + y + 4 = -5x + 5y - 1
5
(x - 5y + 2) - (-5x + 7y - 3)
詳解:(答案是 A)
= x - 5y + 2 + 5x - 7y + 3 = 6x - 12y + 5