大师作文网Simplify the expasion of（1-x)^8+(1+x)^8 including the term i
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Simplify the expasion of（1-x)^8+(1+x)^8 including the term in x^2,by putting x=0.01,find the approprizte value of 0.99^8+1.01^8,correct to three decimal places.
（1-x)^8+(1+x)^8
= 2(1+8C2x^2 + 8C4x^4+8C6x^6+x^8)
=2(1+ 28x^2+70x^4+28x^6+x^8)
= 2+ 56x^2 ( including the term in x^2)
x=0.01
0.99^8+1.01^8 = 2+56(0.01)^2=2.0056=2.006 ( 3decimal places)
= 2(1+8C2x^2 + 8C4x^4+8C6x^6+x^8)
=2(1+ 28x^2+70x^4+28x^6+x^8)
= 2+ 56x^2 ( including the term in x^2)
x=0.01
0.99^8+1.01^8 = 2+56(0.01)^2=2.0056=2.006 ( 3decimal places)
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