运用乘法公式计算 : 1】(3x-5)²;-(2x+7)²;;【2】(x+y+1)(x+y-1);【3】(2x-y-3)²【4
运用乘法公式计算 :
1】(3x-5)²;-(2x+7)²;;【2】(x+y+1)(x+y-1);【3】(2x-y-3)²【4】(x+2)(x-2)²
(1)(3x-5)²-(2x+7)²
=(3x-5+2x+7)(3x-5-2x-7)
=(5x+2)(x-12)
=5x²-58x-24.
(2)(x+y+1)(x+y-1)弯竖穗埋卜
=(纤埋x+y)²-1
=x²+2xy+y²-1
(3)(2x-y-3)²
=4x²+y²+9+4xy-12x+6y,
(4)(x+2)(x-2)²
=(x²-4)(x-2)
=x³-2x²-4x+8.
1:平猜粗枣方穗拆差
2:将x+y看作整体用平方差
3:将2x-y看作整体用平方差
4:凳配先做(x+2)(x-2),再乘上(x-2)
(1)(3x-5)²-(2x+7)²
解:原简轮式=(3x-5)(3x-5)-(2x+7)(2x+7)
=9x²-15x-15x-25-(4x²+14x+14x+49)
=9x²-15x-15x-25-4x²-14x-14x-49
=5x²-58x-24
(2)(x+y+1)(x+y-1)
解:原式=x²纳瞎+xy-x+xy+y²-y+x+y-1
=x²洞咐空x²+2xy+y²-1
(3)(2x-y-3)²
解:原式=(2x-y-3)(2x-y-3)
=4x²-2xy-6x-2xy+y²+3y-6x+3y+9
=4x²-12x+y²+6y+4xy+9
(4)(x+2)(x-2)²
解:原式=(x+2)(x-2)(x-2)
=(x²-4)(x-2)
=x³-2x²-4x+8
(1)(3x-5)²-(2x+7)²
=(3x-5+2x+7)(3x-5-2x-7)
=(5x+2)(x-12)
=5x²-58x-24.
(2)(x+y+1)(x+y-1)弯竖穗埋卜
=(纤埋x+y)²-1
=x²+2xy+y²-1
(3)(2x-y-3)²
=4x²+y²+9+4xy-12x+6y,
(4)(x+2)(x-2)²
=(x²-4)(x-2)
=x³-2x²-4x+8.
(3)2x-y-3)²
=4x²+y²+9-4xy-12x+6y,不是+4xy,是-4xy!
(1)(3x-5)²-(2x+7)²禅燃
=(9x²简袭孝-6x+10+25)-(4x²+4x+14+49) =9x²-6x+35-4x²拦稿-4x-14-49 =5x²-2x-28