Question

Expand the square of a binomial (y^7-11)^2​

Answer 1

`{y}^(14) - 22 {y}^(7) + 121`

Explanation:

`(y {}^(7 ) - 11)( {y}^(7) - 11)`

First terms,

`{y}^(14)`

Outer,

`{y}^(7) * - 11 = - 11 {y}^(7)`

Inner,

`{y}^(7) * - 11 = - 11 {y}^(7)`

Last,

`- 11 * - 11 = 121`

Add all terms up

`{y}^(14) - 22 {y}^(7) + 121`

Answer 2

`y^(14) -22y^7+121`

Explanation:

This equation should help:

`(a+b)^2=a^2+2ab+b^2`

`(y^(7)-11)^2\\\\=y^(14) +2*y^7*-11+11^2\\\\=y^(14) -22y^7+121`