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\left(10i\right)^{2}-11^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
-100-11^{2}
Calculate 10i to the power of 2 and get -100.
-100-121
Calculate 11 to the power of 2 and get 121.
-221
Subtract 121 from -100 to get -221.
Re(\left(10i\right)^{2}-11^{2})
Consider \left(10i+11\right)\left(10i-11\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
Re(-100-11^{2})
Calculate 10i to the power of 2 and get -100.
Re(-100-121)
Calculate 11 to the power of 2 and get 121.
Re(-221)
Subtract 121 from -100 to get -221.
-221
The real part of -221 is -221.