. Simplify.

a. 14a7bc+5a7bc

b. Multiply (5+3sqrt2)(5-3sqrt2)

a. Simplify the terms with like variables: 14a**7bc + 5a**7bc = 19a**7bc.

b. Use the formula (a+b)(a-b) = 2 - b**2.
(5+3sqrt2)(5-3sqrt2) = 5**2 - (3sqrt2)**2
= 25 - 18
= 7