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b. -3(a + 2b - 4) = -3a - 6b + 12
c. (3x + 2y) (x + y) = 3x(x + y) + 2y(x + y)
= 3x² + 3xy + 2xy + 2y²
= 3x² + (3 + 2)xy + 2y²
= 3x² + 5xy + 2y²
d. (k + 2) (k² + 2k + 1) = k(k² + 2k + 1) + 2(k² + 2k + 1)
= k³ + 2k² + k + 2k² + 4k + 2
= k³ + (2 + 2)k² + (1 + 4)k + 2
= k³ + 4k² + 5k + 2