Question
Simplify the expression
−25+75i
Evaluate
(−5−5i)(−5−10i)
Apply the distributive property
−5(−5)−5(−10i)−5i(−5)−5i(−10i)
Multiply the numbers
More Steps

Evaluate
−5(−5)
Multiplying or dividing an even number of negative terms equals a positive
5×5
Multiply the numbers
25
25−5(−10i)−5i(−5)−5i(−10i)
Multiply the numbers
25+50i−5i(−5)−5i(−10i)
Multiply the numbers
25+50i+25i−5i(−10i)
Multiply the numbers
More Steps

Evaluate
−5i(−10i)
Multiply
−5(−10)i2
Multiply
50i2
Use i2=−1 to transform the expression
50(−1)
Calculate
−50
25+50i+25i−50
Calculate
−25+50i+25i
Solution
More Steps

Evaluate
50i+25i
Collect like terms by calculating the sum or difference of their coefficients
(2+1)×25i
Calculate
3×25i
Multiply the numbers
75i
−25+75i
Show Solution
