ANSWER
[tex]( {x}^{10} )^{2} - {6}^{2} = ({x}^{10} - {6}) ( {x}^{10} + {6})[/tex]
EXPLANATION
The given expression is:
[tex] {x}^{100} - 36[/tex]
We can rewrite this expression as:
[tex]( {x}^{10} )^{2} - {6}^{2} [/tex]
We have now written the expression as a difference of two squares:
Recall that:
[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
This implies that,
[tex]( {x}^{10} )^{2} - {6}^{2} = ({x}^{10} - {6}) ( {x}^{10} + {6})[/tex]
