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Grade: 11
        

If a,b,c are three consecutive integers , Prove that (a-i)(a+i)(c+i)(c-i)=b^4 +1

23 days ago

Answers : (1)

Aditya Gupta
713 Points
							
LHS= (1+a^2)(1+c^2)=1+a^2+c^2+a^2c^2
But c=b+1 and a=b-1
1+2(b^2+1)+(b^2-1)^2
= 1+2(b^2+1)+ b^4+1-2b^2
= b^4+4 and not b^4+1
23 days ago
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