Evaluate
y^{2}-2y+\frac{3}{4}
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y^{2}-2y+\frac{3}{4}
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y^{2}+y\left(-\frac{3}{2}\right)-\frac{1}{2}y-\frac{1}{2}\left(-\frac{3}{2}\right)
Apply the distributive property by multiplying each term of y-\frac{1}{2} by each term of y-\frac{3}{2}.
y^{2}-2y-\frac{1}{2}\left(-\frac{3}{2}\right)
Combine y\left(-\frac{3}{2}\right) and -\frac{1}{2}y to get -2y.
y^{2}-2y+\frac{-\left(-3\right)}{2\times 2}
Multiply -\frac{1}{2} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
y^{2}-2y+\frac{3}{4}
Do the multiplications in the fraction \frac{-\left(-3\right)}{2\times 2}.
y^{2}+y\left(-\frac{3}{2}\right)-\frac{1}{2}y-\frac{1}{2}\left(-\frac{3}{2}\right)
Apply the distributive property by multiplying each term of y-\frac{1}{2} by each term of y-\frac{3}{2}.
y^{2}-2y-\frac{1}{2}\left(-\frac{3}{2}\right)
Combine y\left(-\frac{3}{2}\right) and -\frac{1}{2}y to get -2y.
y^{2}-2y+\frac{-\left(-3\right)}{2\times 2}
Multiply -\frac{1}{2} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
y^{2}-2y+\frac{3}{4}
Do the multiplications in the fraction \frac{-\left(-3\right)}{2\times 2}.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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