Answer :
Step 1: Write out the expression
[tex](-5+4i)(2+6i)[/tex]Step 2: Expand the expression
[tex](-5+4i)(2+6i)=-5(2+6i)+4i(2+6i)[/tex][tex]=-10-30i+8i+24i^2=-10-22i+24(-1)[/tex][tex]=-10-24-22i=-34-22i[/tex]Hence the expression simplified is -34 - 22i
