Question

The product of (x + 1) and (x -1) is (x²+1)
True or False ​

Answer 1

( x + 1 ) ( x - 1 )

Using the identity

• ( a + b ) ( a - b ) = a² - b²

x² - 1²

x² - 1

So , it's false . x² - 1 is the product of those

Answer 2

Question

The product of (x + 1) and (x -1) is (x²+1).

True or False .

Answer

(x + 1) and (x -1)

Here,the given equation is in the form of

$\boxed{\tt\: (a + b) and (a-b)=(a²-b²)\:where~a=x~and~b=1}$

Substituting,using the provided identity,

$\tt\: (a + b) + (a-b)=(a²-b²)$

$➻\tt\: (a + b) + (a-b)=(a²-b²)$

$➻\tt\: (x + 1) + (x-1)=(x²-1²)$

$\bf \: The~ product~ is~ x²-1²$

Hence,the given equation is false.

Boost your Knowledge

$➻\tt\: (a + b) + (a-b)=(a²-b²)$

$➻\tt\: (a+b)² = a²+2ab+b²$

$➻\tt\: (a-b)² = a²-2ab+b²$

$➻\tt\:a²-b²= (a+b) (a-b)$

$➻\tt\:(x+a) (x+b) = x²+(a+b) x+ab$

$➻\tt\:(a+b+c)2= a²+b²+c²+ 2ab+2bc+2ca$