Answer :

2mn(9 + 5p)

The irreducible factors of 18mn and 10mnp are


18mn = 2×3×3×m×n


10mnp = 2×5×m×n×p


Here, the common factors of the two terms are 2mn. So the factorization of 18mn + 10mnp will be


18mn + 10mnp = (2×3×3×m×n) + (2×5×m×n×p)


= (2mn×9) + (2mn×5p)


= 2mn(9 + 5p)


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