simplify.\n(7 - 2i)(8 + 9i)\nenter your answer, in standard form, in the box.

Explanation:

Step1: Use FOIL method

$(7 - 2i)(8 + 9i)=7\times8+7\times9i-2i\times8 - 2i\times9i$

Step2: Calculate each product

$7\times8 = 56$, $7\times9i=63i$, $-2i\times8=-16i$, $-2i\times9i=-18i^{2}$

Step3: Recall $i^{2}=-1$

Since $i^{2}=-1$, then $-18i^{2}=-18\times(-1) = 18$

Step4: Combine like - terms

$56+63i-16i + 18=(56 + 18)+(63i-16i)=74 + 47i$

Answer:

$74 + 47i$