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Question 1 of 5
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Imaginary numbers have the properties i=√-1 or i2=-1.
To solve i(5+i), multiply and then simplify.
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i(5+i) |
Multiply the i through the parentheses. |
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= |
5i+i2 |
Replace i2=-1. |
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= |
5i-1 |
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Question 2 of 5
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Imaginary numbers have the properties i=√-1 or i2=-1.
To solve (7+i)(9+i), multiply and then simplify.
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(7+i)(9+i) |
Multiply using the FOIL method. |
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= |
63+7i+9i+i2 |
Combine like terms 7i and 9i. |
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= |
63+16i+i2 |
Replace i2=-1. |
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= |
63+16i-1 |
Combine like terms 63 and -1. |
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= |
62+16i |
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Question 3 of 5
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Imaginary numbers have the properties i=√-1 or i2=-1.
To solve -12i(5+3i), multiply and then simplify.
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-12i(5+3i) |
Multiply the i through the parentheses. |
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= |
-60i-36i2 |
Replace i2=-1. |
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= |
-60i+36 |
Rearrange. |
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= |
36-60i |
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Question 4 of 5
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Imaginary numbers have the properties i=√-1 or i2=-1.
To solve (-1+4i)(13-i), multiply and then simplify.
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(-1+4i)(13-i) |
Multiply by foil. |
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= |
-13+i+52i-4i2 |
Combine like terms i and 52i. |
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= |
-13+53i-4i2 |
Replace i2=-1. |
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= |
-13+53i+4 |
Combine like terms -13 and 4. |
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= |
-9+53i |
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Question 5 of 5
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Imaginary numbers have the properties i=√-1 or i2=-1.
To solve (5+11i)2, multiply and then simplify.
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(5+11i)2 |
Expand (5+11i)2. |
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(5+11i)(5+11i) |
Multiply using the FOIL method. |
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= |
25+55i+55i+121i2 |
Combine like terms 55i and 55i. |
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= |
25+110i+121i2 |
Replace i2=-1. |
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= |
25+110i-121 |
Combine like terms 63 and -1. |
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= |
-96+110i |
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