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2m^{2}+2m-9
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2m^{2}+2m-9
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m^{2}+2m+\left(m+3\right)\left(m-3\right)
Use the distributive property to multiply m by m+2.
m^{2}+2m+m^{2}-3^{2}
Consider \left(m+3\right)\left(m-3\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
m^{2}+2m+m^{2}-9
Calculate 3 to the power of 2 and get 9.
2m^{2}+2m-9
Combine m^{2} and m^{2} to get 2m^{2}.
m^{2}+2m+\left(m+3\right)\left(m-3\right)
Use the distributive property to multiply m by m+2.
m^{2}+2m+m^{2}-3^{2}
Consider \left(m+3\right)\left(m-3\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
m^{2}+2m+m^{2}-9
Calculate 3 to the power of 2 and get 9.
2m^{2}+2m-9
Combine m^{2} and m^{2} to get 2m^{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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