Verified Answer :

konrad509

\((5+2yi)(4-3i) - (5-2yi)(4-3i)=\\(4-3i)(5+2yi-5+2yi)=\\(4-3i)\cdot4yi=\\16yi+12y=\\12y+16yi\)

olemakpadu

(5+2yi)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 - 3i)

(4 -3i)( (5 + 2yi) - (5 -2yi) )

(4 -3i)(5 + 2yi - 5 + 2yi)

(4 -3i)(5 - 5 + 2yi + 2yi)

(4 -3i)4yi

44yi - 4yi3i

= 16yi - 12yi².                 i² = -1

= 16yi - 12y(-1)

= 16yi + 12y

= 12y + 16yi                in the form a + bi.

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