\(4 (-2 x + 8 y) = -8 x + 32 y\)

\(-4 + (-8 p - 7) = -4 - 8 p - 7 = -8 p - 11\)

\(6 - (7 x + 3) = 6 - 7 x - 3 = -7 x + 3\)

\(3 (9 a - 8) = 27 a - 24\)

\(3 (2 a - 6) + 4 (-8 a - 9) = 6 a - 18 - 32 a - 36 = -26 a - 54\)

\(6 x (3 x - 5) = 18 x^{2} - 30 x\)

\((-6 x + 5) + (-2 x - 9) = -6 x + 5 - 2 x - 9 = -8 x - 4\)

\((2 a - 9) - (7 a - 4) = 2 a - 9 + -7 a + 4 = -5 a - 5\)

\(7 (8 a - 9 b - 3) = 56 a - 63 b - 21\)

\((-7 x - 2) (3 y - 4) = -21 x y + 28 x - 6 y + 8\)

\((2 x - 5) (-9 x + 4) = -18 x^{2} + 8 x + 45 x - 20 = -18 x^{2} + 53 x - 20\)

\((p + 9) (p + 5) = p^{2} + 5 p + 9 p + 45 = p^{2} + 14 p + 45\)

\((a + 9)^{2} = a^{2} + 18 a + 81\)

\((-3 x + 7)^{2} = 9 x^{2} - 42 x + 49\)

\((-5 a + 8 b)^{2} = 25 a^{2} - 80 a b + 64 b^{2}\)

\((x - 3) (x - 9) (x + 2) = (x - 3) (x^{2} - 7 x - 18) = x^{3} - 7 x^{2} - 18 x - 3 x^{2} + 21 x + 54 = x^{3} - 10 x^{2} + 3 x + 54\)

\(x (x + 4) (x + 2) = x (x^{2} + 6 x + 8) = x^{3} + 6 x^{2} + 8 x\)

\((4 p - 7 q) (4 p + 7 q) = 16 p^{2} - 49 q^{2}\)

\((6 a + 7) (6 a - 7) = 36 a^{2} - 49\)

\((a + 9) (a - 9) = a^{2} - 81\)