Question

PLS GIVE RIGHT ANSWER THE ANSWER IS NOT 17 IF U GET IT PLZ HELP!!!! M4+ 1/m4 , if m− 1/m =3.

Answer 1

119

Explanation:

I believe you meant the question to be "
`m^4` + 1 /
`m^4`, if m - 1 / m = 3. "

I presume that we want to take this second equation at hand here, and " simplify " it further. After doing so this first expression will have a value with respect to the simplified value of the equation, and, plugging in it's value we can solve for the expression (
`m^4` + 1 /
`m^4`. )

m - 1 / m = 3 - Take each value squared on either side of the equation,

`( m - 1 / m )^2 = 3^2` - Simplify,

`( m - 1 / m )^2 = 9`

If you don't know how to expand expressions such as the one in the third step, "
`( m - 1 / m )^2` " here is a quick recap. Remember that
`( a - b )^2 = a^2 - 2ab + b^2`. Therefore,

`( m - 1 / m )^2 = m^2 - 2( m )( 1 / m ) + ( 1 / m )^2,\\( m - 1 / m )^2 = m^2 - 2 + 1 / m^2`

Now let's continue,

`m^2 - 2 + 1 / m^2 = 9` - Add 2 on either side,

`m^2 + 1 / m^2 = 11`

_______________

So now we have the " simplified equation " as you can say, for the equation. Let's " simplify " the expression now,

`m^4+1/m^4 = 75+4(m^2+1/m^2)` - Substitute the value of 11,

`m^4+1/m^4 = 75+4(11),\\m^4 + 1 / m^4 = 119`

Solution = 119