Question

express the following in standard form. upload your handwritten work displaying how you solved to receive credit. (8 - 3i)(-7 + 5i)

Explanation:

Step1: Apply FOIL method

$(8)(-7) + (8)(5i) + (-3i)(-7) + (-3i)(5i)$

Step2: Calculate each term

$-56 + 40i + 21i - 15i^2$

Step3: Substitute $i^2=-1$

$-56 + 40i + 21i - 15(-1)$

Step4: Simplify real terms

$-56 + 15 + 40i + 21i$

Step5: Combine like terms

$-41 + 61i$

Answer:

$-41 + 61i$