Question

Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.

Answer 1

Answer:

$(4 - 5i)(2 + 6i) - (3 - 2i) \\ 4 - 5i(2 + 6i) - 3 + 2i \\ 4 - 10i + {30i}^{2} - 3 + 2i \\ collecting \: like \: terms \: \\ 4 - 3 - 10i + 2i + {30i}^{2} \\ 1 - 8i + {30i}^{2} \\ arranging \: terms \: \\ {30i}^{2} - 8i + 1$

Answer 2

The simplification of the given expression $(4-5i)(2+6i)-(3-2i)$, we get $-30i^2+16i+5$.

Given expression is:

• $(4-5i)(2+6i)-(3-2i)$

By applying the multiplication, we get

→ $(8-10i+24i-30i^2)-(3-2i)$

By multiplying the (-) sign into the bracket, we get

→ $8-10i+24i-30i^2-3+2i$

→ $5+16i-30i^2$

By arranging the terms, we get

→ $-30i^2+16i+5$

Thus the answer above is right.

Learn more:

brainly.com/question/19593573