Evaluate
y^{2}-y+\frac{2}{9}
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y^{2}-y+\frac{2}{9}
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y^{2}+y\left(-\frac{2}{3}\right)-\frac{1}{3}y-\frac{1}{3}\left(-\frac{2}{3}\right)
Apply the distributive property by multiplying each term of y-\frac{1}{3} by each term of y-\frac{2}{3}.
y^{2}-y-\frac{1}{3}\left(-\frac{2}{3}\right)
Combine y\left(-\frac{2}{3}\right) and -\frac{1}{3}y to get -y.
y^{2}-y+\frac{-\left(-2\right)}{3\times 3}
Multiply -\frac{1}{3} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
y^{2}-y+\frac{2}{9}
Do the multiplications in the fraction \frac{-\left(-2\right)}{3\times 3}.
y^{2}+y\left(-\frac{2}{3}\right)-\frac{1}{3}y-\frac{1}{3}\left(-\frac{2}{3}\right)
Apply the distributive property by multiplying each term of y-\frac{1}{3} by each term of y-\frac{2}{3}.
y^{2}-y-\frac{1}{3}\left(-\frac{2}{3}\right)
Combine y\left(-\frac{2}{3}\right) and -\frac{1}{3}y to get -y.
y^{2}-y+\frac{-\left(-2\right)}{3\times 3}
Multiply -\frac{1}{3} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
y^{2}-y+\frac{2}{9}
Do the multiplications in the fraction \frac{-\left(-2\right)}{3\times 3}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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