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-8a^{2}-1
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-8a^{2}-1
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\left(3a\right)^{2}-1-17a^{2}
Consider \left(3a-1\right)\left(3a+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.
3^{2}a^{2}-1-17a^{2}
Expand \left(3a\right)^{2}.
9a^{2}-1-17a^{2}
Calculate 3 to the power of 2 and get 9.
-8a^{2}-1
Combine 9a^{2} and -17a^{2} to get -8a^{2}.
\left(3a\right)^{2}-1-17a^{2}
Consider \left(3a-1\right)\left(3a+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.
3^{2}a^{2}-1-17a^{2}
Expand \left(3a\right)^{2}.
9a^{2}-1-17a^{2}
Calculate 3 to the power of 2 and get 9.
-8a^{2}-1
Combine 9a^{2} and -17a^{2} to get -8a^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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