1. а) (3а + b)2 = 9a2 + 6ab + b2
б) (7v - y)2 = 49v2 - 14vy + y2
в) 12fg + (2f - 3g)3 = 12fg + 8f3 - 24f2g + 36fg2 - 9g3
г) 25x2 - (5x - 1)2 = 25x2 - (25x2 - 10x + 1) = 25x2 - 25x2 + 10x - 1 = 10x - 1
д) -2 × (5а -3)2 = -2(25а3 - 30а + 9) = - 50а3 + 60а - 18 = 60а - 50а3 - 18
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Answers & Comments
1. а) (3а + b)2 = 9a2 + 6ab + b2
б) (7v - y)2 = 49v2 - 14vy + y2
в) 12fg + (2f - 3g)3 = 12fg + 8f3 - 24f2g + 36fg2 - 9g3
г) 25x2 - (5x - 1)2 = 25x2 - (25x2 - 10x + 1) = 25x2 - 25x2 + 10x - 1 = 10x - 1
д) -2 × (5а -3)2 = -2(25а3 - 30а + 9) = - 50а3 + 60а - 18 = 60а - 50а3 - 18