Find the product and write the result in standard form.
-$$( - 3 + \mathrm { i } ) ( - 3 - \mathrm { i } )$$
A) 10
B) $- 3$
C) 9
D) $- 8$

Question

Quizplus · Accepted Answer

The product of $(-3 + i)(-3 - i)$ can be calculated using the distributive property (FOIL method for binomials): $(-3 \cdot -3) + (-3 \cdot -i) + (i \cdot -3) + (i \cdot -i) = 9 + 3i - 3i - i^2$. Since $i^2 = -1$, the expression simplifies to $9 - (-1) = 9 + 1 = 10$.

Find the Product and Write the Result in Standard Form (−3+i)(−3−i)( - 3 + \mathrm { i } ) ( - 3 - \mathrm { i } )(−3+i)(−3−i)

Find the Product and Write the Result in Standard Form $( - 3 + \mathrm { i } ) ( - 3 - \mathrm { i } )$