CameraIcon

SearchIcon

MyQuestionIcon

1

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

(x±a)(x±b) = x²±(a+b)x+ab.

The product a...

Question

The product (a + b) (a − b) (a² − ab + b²) (a² + ab + b²) is equal to

(a) a⁶ + b⁶

(b) a⁶ − b⁶

(c) a³ − b³

(d) a³+ b³

Open in App

Solution

We have to find the product of

Using identity

We can rearrange as

Again using the identity

Here

Hence the product of is

The correct choice is .

Suggest Corrections

thumbs-up

0

Similar questions

On Resolving $a^{6} - b^{6}$ into factors give $(a + b) (a - b) (a^{2} - a b + b^{2}) (a^{2} + a b + b^{2})$ .

$The product (a + b) (a - b) (a^{2} - a b + b^{2}) (a^{2} + a b + b^{2})$ is equal to

(a^{2} - b^{2}) (a^{2} + a b + b^{2}) - a^{3} + b^{3}

a^{6} - b^{6}

State the following statement is True or False:

a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + a b)

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

(x+a)(x+b)

MATHEMATICS

Watch in App

explore_more_icon

Explore more

(x±a)(x±b) = x²±(a+b)x+ab.

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon