Question

乘法公式练习题

1.(2x+3y)(3x-y)=________
2.(2x-3y)(3x-2y)=_________
3.(4x+6y)(2x-3y)=_____
4.(2x-1)²-(x+2)²=______
5.(2x+____)(____-y)=4x²-y²
6.(1+x)(1-x)(1+x²)(1+x^4)=____
7.(2x+5y-3)(-2x+5y+5)=______
8.(x+y)²(x-y)²=______
9.(a-1/2)²(a²+1/4)²(a+1/2)²=____
10.(a-2b+c)(a+2b-c)-(a+2b+c)²=____
11.化简求值
(2x-1)(x+2)-(x-2)²-(x+2)²，其中x=负的1又二分之一

Answer 1

1.(2x+3y)(3x-y)=___6x²+7xy-3y²_____
2.(2x-3y)(3x-2y)=____6x²-13xy+6y²_____
3.(4x+6y)(2x-3y)=__8x²-18y²___
4.(2x-1)²-(x+2)²=___4x²-4x+1-x²-4x-4=3x²-8x-3___
5.(2x+__y__)(__2x__-y)=4x²-y²
6.(1+x)(1-x)(1+x²)(1+x^4)=__1-x^8__
7.(2x+5y-3)(-2x+5y+5)=__-4x²+25y²+20x+50y-15____
8.(x+y)²(x-y)²=___x^4-2x²y²+y^4___
9.(a-1/2)²(a²+1/4)²(a+1/2)²=_a^8-a^4/8+1/256___
10.(a-2b+c)(a+2b-c)-(a+2b+c)²=
=a²-(2b-c)²-a²-2a(2b+c)-(2b+c)²
=-4b²+4bc-c²-4ab-2ac-4b²-4bc-c²
=-8b²-2c²-4ab-2ac

(2x-1)(x+2)-(x-2)²-(x+2)²，其中x=负的1又二分之一
=2x²+3x-2-x²+4x-4-x²-4x-4
=3x-10
=-3/2+10
=17/2