To factor the expression, we need to identify any common factors that can be pulled out of the terms.
The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.
Therefore, the expression can be factored as:
(-6g²rs²t)(g²r + 9²₂²) + 5422
This is the fully factored form of the expression.
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