Algebra Examples

Simplify (8+6i)(8-6i)
(8+6i)(8-6i)
Step 1
Expand (8+6i)(8-6i) using the FOIL Method.
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Step 1.1
Apply the distributive property.
8(8-6i)+6i(8-6i)
Step 1.2
Apply the distributive property.
88+8(-6i)+6i(8-6i)
Step 1.3
Apply the distributive property.
88+8(-6i)+6i8+6i(-6i)
88+8(-6i)+6i8+6i(-6i)
Step 2
Simplify and combine like terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Multiply 8 by 8.
64+8(-6i)+6i8+6i(-6i)
Step 2.1.2
Multiply -6 by 8.
64-48i+6i8+6i(-6i)
Step 2.1.3
Multiply 8 by 6.
64-48i+48i+6i(-6i)
Step 2.1.4
Multiply 6i(-6i).
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Step 2.1.4.1
Multiply -6 by 6.
64-48i+48i-36ii
Step 2.1.4.2
Raise i to the power of 1.
64-48i+48i-36(i1i)
Step 2.1.4.3
Raise i to the power of 1.
64-48i+48i-36(i1i1)
Step 2.1.4.4
Use the power rule aman=am+n to combine exponents.
64-48i+48i-36i1+1
Step 2.1.4.5
Add 1 and 1.
64-48i+48i-36i2
64-48i+48i-36i2
Step 2.1.5
Rewrite i2 as -1.
64-48i+48i-36-1
Step 2.1.6
Multiply -36 by -1.
64-48i+48i+36
64-48i+48i+36
Step 2.2
Add 64 and 36.
100-48i+48i
Step 2.3
Add -48i and 48i.
100+0
Step 2.4
Add 100 and 0.
100
100
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