Answer
False
Work Step by Step
To multiply complex numbers, we multiply each term of the first number by each term of the second number and then simplify.
$(5+i)(5-i)$
$5(5)+5i-5i+i(-i)$
Let us simplify the expression: $25-i^2$
Since $i^2=-1$, we can rewrite the expression as: $25-(-1)$
When we subtract, we get $26$, which is not $24$.