Evaluate
18x^{2}+21x+6
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18x^{2}+21x+6
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2\left(9x^{2}+6x+1\right)+3\left(3x+1\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+1\right)^{2}.
18x^{2}+12x+2+3\left(3x+1\right)+1
Use the distributive property to multiply 2 by 9x^{2}+6x+1.
18x^{2}+12x+2+9x+3+1
Use the distributive property to multiply 3 by 3x+1.
18x^{2}+21x+2+3+1
Combine 12x and 9x to get 21x.
18x^{2}+21x+5+1
Add 2 and 3 to get 5.
18x^{2}+21x+6
Add 5 and 1 to get 6.
2\left(9x^{2}+6x+1\right)+3\left(3x+1\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+1\right)^{2}.
18x^{2}+12x+2+3\left(3x+1\right)+1
Use the distributive property to multiply 2 by 9x^{2}+6x+1.
18x^{2}+12x+2+9x+3+1
Use the distributive property to multiply 3 by 3x+1.
18x^{2}+21x+2+3+1
Combine 12x and 9x to get 21x.
18x^{2}+21x+5+1
Add 2 and 3 to get 5.
18x^{2}+21x+6
Add 5 and 1 to get 6.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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