CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Algebraic Identity (a+b)^3

Question 8 0I...

Question

Question 80

In the following question, state whether the statement is True (T) or False (F):

The value of $(a + 1) (a - 1) (a^{2} + 1)$ is $a^{4} - 1$ .

Open in App

Solution

True

We have,
$(a + 1) (a - 1) (a^{2} + 1) = (a^{2} - 1) (a^{2} + 1)$
[Using the identity, $(a + b) (a - b) = a^{2} - b^{2}$ in first two factors]
$= (a^{2})^{2} - 1^{2}$
$= a^{4} - 1$

Suggest Corrections

thumbs-up

1

Similar questions

Question 78

In the following question, state whether the statement is True (T) or False (F):

The value of p for $51^{2} - 49^{2} = 100 p$ is 2.

Question 64

In the following question, state whether the statement is True (T) or False (F):

The numerical coefficient of the term $- 6 x^{2} y^{2}$ is - 6

Q. State whether the statement is True or False:

(a + 1) (a - 1) (a^{2} + 1)

, the answer is

a^{4} - 1

.

Question 66

In the following question, state whether the statement is True (T) or False (F):

The factors of $a^{2} - 2 a b + b^{2}$ are (a+b) and (a+b).

Question 80

In the following question, state whether the given statements are true (T) or false (F).

The expression for $4^{- 3}$ as a power with the base $2 i s 2^{6} .$

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Algebraic Identity (a+b)^3

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon