# Simplify (5-13i)(5-13i)

(5-13i)(5-13i)
Expand (5-13i)(5-13i) using the FOIL Method.
Apply the distributive property.
5(5-13i)-13i(5-13i)
Apply the distributive property.
5⋅5+5(-13i)-13i(5-13i)
Apply the distributive property.
5⋅5+5(-13i)-13i⋅5-13i(-13i)
5⋅5+5(-13i)-13i⋅5-13i(-13i)
Simplify and combine like terms.
Simplify each term.
Multiply 5 by 5.
25+5(-13i)-13i⋅5-13i(-13i)
Multiply -13 by 5.
25-65i-13i⋅5-13i(-13i)
Multiply 5 by -13.
25-65i-65i-13i(-13i)
Multiply -13i(-13i).
Multiply -13 by -13.
25-65i-65i+169ii
Raise i to the power of 1.
25-65i-65i+169(i1i)
Raise i to the power of 1.
25-65i-65i+169(i1i1)
Use the power rule aman=am+n to combine exponents.
25-65i-65i+169i1+1
Add 1 and 1.
25-65i-65i+169i2
25-65i-65i+169i2
Rewrite i2 as -1.
25-65i-65i+169⋅-1
Multiply 169 by -1.
25-65i-65i-169
25-65i-65i-169
Subtract 169 from 25.
-144-65i-65i
Subtract 65i from -65i.
-144-130i
-144-130i
Simplify (5-13i)(5-13i)

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