利用因式分解求值:已知X=75分之22,y=44分之25,求(x+y)²-(x-y)²的值

问题描述:

利用因式分解求值:已知X=75分之22,y=44分之25,求(x+y)²-(x-y)²的值

3分之2

(x+y)^2-(x-y)^2=x*y*4=22/75*25/44*4=8/3

已知X=75分之22,y=44分之25,求(x+y)²-(x-y)²的值
(x+y)²-(x-y)²
=[(x+y)+(x-y)][(x+y)-(x-y)]
=2x2y
=4xy
把xy的值代入4xy中就可以了

(x+y)²-(x-y)²
=(x+y+x-y)(x+y-x+y)
=4xy
=4*(22/75)*(25/44)
=4*(1/6)
=2/3