Arpitha factors out the greatest common factor, 9⁢n, from the terms of the polynomial shown. 162 m cubed n to the 4th power plus 45 n is equal to 9 n open paren underline plus 5 close paren What is the missing term in the factored expression?

Divide the first term, 162m³n⁴, by the greatest common factor, 9n: 162 ÷ 9 = 18 and n⁴ ÷ n = n³, so the missing term is 18m³n³. The second term, 45n, divided by 9n gives 5, confirming the factorization. The correct choice is A, 18m³n³.

AI-written and checked against the verified answer.