Evaluate
\left(y+1\right)^{2}
Expand
y^{2}+2y+1
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y^{2}-6y+9+8\left(y-3\right)+16
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-3\right)^{2}.
y^{2}-6y+9+8y-24+16
Use the distributive property to multiply 8 by y-3.
y^{2}+2y+9-24+16
Combine -6y and 8y to get 2y.
y^{2}+2y-15+16
Subtract 24 from 9 to get -15.
y^{2}+2y+1
Add -15 and 16 to get 1.
y^{2}-6y+9+8\left(y-3\right)+16
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-3\right)^{2}.
y^{2}-6y+9+8y-24+16
Use the distributive property to multiply 8 by y-3.
y^{2}+2y+9-24+16
Combine -6y and 8y to get 2y.
y^{2}+2y-15+16
Subtract 24 from 9 to get -15.
y^{2}+2y+1
Add -15 and 16 to get 1.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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