Question

Factorise 7x^7+14x^14​

Answer 1

`7x ^(7) (1 + 2x ^(7) )`

factor out 7x^7 out of 7x^7+14x^14

Answer 2

Factor of
`7 x^(7)+14 x^(14) \text { is } 7 x^(7)\left(1+2 x^(7)\right)`

Solution:

From question given that

`7 x^(7)+14 x^(14)`

We have to find the factors of above equation.

To Factorize the equation, follow the below steps:

Taking 7 as a common term in above equation, we get

`=7\left(x^(7)+2 x^(14)\right)`

Now on taking
`x^7` as a common term in above equation,

`=7 x^(7)\left(1+2 x^(7)\right)`

Hence factor of
`7 x^(7)+14 x^(14) \text { is } 7 x^(7)\left(1+2 x^(7)\right)`