Respuesta :

deannaellis

When u multiply these two u should get 6i^2+25i+14.

Answer:

[tex]8+25i[/tex]

Step-by-step explanation:

Given expression,

[tex](7+2i)(2+3i)[/tex]

[tex]=7(2+3i) + 2i(2+3i)[/tex]   ( Distributive property )

[tex]=7(2) + 7(3i) + 2i(2) + 2i(3i)[/tex]   ( Distributive property )

[tex]=14+21i+4i+6i^2[/tex]

[tex]=14+(21+4)i-6[/tex]  ( i² = -1 )

[tex]=14+25i-6[/tex]

[tex]=8+25i[/tex]

Hence,

[tex](7+2i)(2+3i)=8+25i[/tex]