The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].
Given expression is:
- [tex](4-5i)(2+6i)-(3-2i)[/tex]
By applying the multiplication, we get
→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]
By multiplying the (-) sign into the bracket, we get
→ [tex]8-10i+24i-30i^2-3+2i[/tex]
→ [tex]5+16i-30i^2[/tex]
By arranging the terms, we get
→ [tex]-30i^2+16i+5[/tex]
Thus the answer above is right.
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