$(- 2 - 2 i) \cdot (- 4 - 3 i) \cdot (7 + 8 i) = 112 i^{2} + 114 i + 14$

Explanation

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$(- 2 - 2 i) \cdot (- 4 - 3 i) \cdot (7 + 8 i) \overset{◯}{1} (8 + 6 i + 8 i + 6 i^{2}) \cdot (7 + 8 i) \overset{◯}{2} (6 i^{2} + 14 i + 8) \cdot (7 + 8 i) \overset{◯}{3} (- 6 + 14 i + 8) \cdot (7 + 8 i) \overset{◯}{4} (14 i + 2) \cdot (7 + 8 i) \overset{◯}{5} 98 i + 112 i^{2} + 14 + 16 i \overset{◯}{6} 112 i^{2} + 114 i + 14$
①	Multiply each term of $(- 2 - 2 i)$ by each term in $(- 4 - 3 i)$ . $(- 2 - 2 i) \cdot (- 4 - 3 i) = 8 + 6 i + 8 i + 6 i^{2}$
②	Combine like terms: $8 + 6 i + 8 i + 6 i^{2} = 6 i^{2} + 14 i + 8$
③	$6 i^{2} = 6 \cdot (- 1) = - 6$
④	Combine like terms: $- 6 + 14 i + 8 = 14 i + 2$
⑤	Multiply each term of $(14 i + 2)$ by each term in $(7 + 8 i)$ . $(14 i + 2) \cdot (7 + 8 i) = 98 i + 112 i^{2} + 14 + 16 i$
⑥	Combine like terms: $98 i + 112 i^{2} + 14 + 16 i = 112 i^{2} + 114 i + 14$

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(−2−2i)⋅(−4−3i)⋅(7+8i)=112i2+114i+14

$(- 2 - 2 i) \cdot (- 4 - 3 i) \cdot (7 + 8 i) = 112 i^{2} + 114 i + 14$