Evaluate
7y^{3}+y-1
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7y^{3}+y-1
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8y^{3}-1-y\left(y-1\right)\left(y+1\right)
Use the distributive property to multiply 2y-1 by 4y^{2}+2y+1 and combine like terms.
8y^{3}-1-\left(y^{2}-y\right)\left(y+1\right)
Use the distributive property to multiply y by y-1.
8y^{3}-1-\left(y^{3}-y\right)
Use the distributive property to multiply y^{2}-y by y+1 and combine like terms.
8y^{3}-1-y^{3}+y
To find the opposite of y^{3}-y, find the opposite of each term.
7y^{3}-1+y
Combine 8y^{3} and -y^{3} to get 7y^{3}.
8y^{3}-1-y\left(y-1\right)\left(y+1\right)
Use the distributive property to multiply 2y-1 by 4y^{2}+2y+1 and combine like terms.
8y^{3}-1-\left(y^{2}-y\right)\left(y+1\right)
Use the distributive property to multiply y by y-1.
8y^{3}-1-\left(y^{3}-y\right)
Use the distributive property to multiply y^{2}-y by y+1 and combine like terms.
8y^{3}-1-y^{3}+y
To find the opposite of y^{3}-y, find the opposite of each term.
7y^{3}-1+y
Combine 8y^{3} and -y^{3} to get 7y^{3}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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