Question

A student claims that (x+1)² = x²+1. Can you use a geometric argument to show that this is wrong?



plz guys ans fast

Answer 1

Yes (x+1)² = x²+1 is definitely wrong. It is so because:
(x+1)² = (x)²+2(x)(1)+(1)²,and not x²+1.
You might wonder why (x+1)² = (x)²+2(x)(1)+(1)²,and not x²+1, it is because of the identity: {(a+b)²=a²+2(a)(b)+b²}.
Here a=x and b=1.

Therefore, (x+1)² = x²+1 is not correct.