Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−200−160i
Evaluate
−6i×4i−32i(5−7i)
Multiply the terms
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Multiply the terms
−6i×4i
Multiply the numbers
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Evaluate
6i×4i
Multiply
6×4i2
Multiply
24i2
Use i2=−1 to transform the expression
24(−1)
Calculate
−24
−(−24)
When there is - in front of an expression in parentheses change the sign of each term of the expression and remove the parentheses
24
24−32i(5−7i)
Multiply the numbers
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Evaluate
32i(5−7i)
Apply the distributive property
32i×5+32i(−7i)
Multiply the numbers
160i+32i(−7i)
Multiply the numbers
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Evaluate
32i(−7i)
Multiply
32(−7)i2
Multiply
−224i2
Use i2=−1 to transform the expression
−224(−1)
Calculate
224
160i+224
Reorder the terms
224+160i
24−(224+160i)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
24−224−160i
Solution
−200−160i
Show Solution
