(1-2^2/1)x(1-3^2/1)x(1-4^2/1)x...x(1-9^2/1)x(1-10^2/1)的值(算式,
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(1-2^2/1)x(1-3^2/1)x(1-4^2/1)x...x(1-9^2/1)x(1-10^2/1)的值(算式,结果,原因)
(1-2^2/1)x(1-3^2/1)x(1-4^2/1)x...x(1-9^2/1)x(1-10^2/1)
=(1+2/1)(1-2/1)(1+3/1)(1-3/1)(1+4/1)(1-4/1)……(1+9/1)(1-9/1)(1+10/1)(1-10/1)
=(1+2/1)(1+3/1)(1+4/1)……(1+9/1)(1+10/1)*(1-2/1)(1-3/1)(1-4/1)……(1-9/1)(1-10/1)
=2/3*3/4*5/4*……*9/10*10/11*2/1*3/2*4/3*9/8*10/9
=2/11*10/1
=20/11
=(1+2/1)(1-2/1)(1+3/1)(1-3/1)(1+4/1)(1-4/1)……(1+9/1)(1-9/1)(1+10/1)(1-10/1)
=(1+2/1)(1+3/1)(1+4/1)……(1+9/1)(1+10/1)*(1-2/1)(1-3/1)(1-4/1)……(1-9/1)(1-10/1)
=2/3*3/4*5/4*……*9/10*10/11*2/1*3/2*4/3*9/8*10/9
=2/11*10/1
=20/11
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