Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2+8i
Evaluate
(1−2i)2−(2−3i)2
Evaluate the power
More Steps
Evaluate
(1−2i)2
Use (a−b)2=a2−2ab+b2 to expand the expression
12−2×1×2i+(2i)2
1 raised to any power equals to 1
1−2×1×2i+(2i)2
Multiply the terms
More Steps
Multiply the terms
2×1×2i
Rewrite the expression
2×2i
Multiply the numbers
4i
1−4i+(2i)2
Evaluate the power
More Steps
Evaluate
(2i)2
Evaluate
22i2
Evaluate the power
4i2
Evaluate the power
−4
1−4i−4
Simplify the expression
−3−4i
−3−4i−(2−3i)2
Evaluate the power
More Steps
Evaluate
(2−3i)2
Use (a−b)2=a2−2ab+b2 to expand the expression
22−2×2×3i+(3i)2
Multiply
More Steps
Multiply the terms
2×2×3i
Multiply the terms
4×3i
Multiply the numbers
12i
22−12i+(3i)2
Evaluate the power
More Steps
Evaluate
(3i)2
Evaluate
32i2
Evaluate the power
9i2
Evaluate the power
−9
22−12i−9
Calculate
4−12i−9
Simplify the expression
−5−12i
−3−4i−(−5−12i)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−3−4i+5+12i
Add the numbers
2+(−4+12)i
Solution
2+8i
Show Solution
