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4-y^{2}
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4-y^{2}
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y^{2}+4y+4-2y\left(y+2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+2\right)^{2}.
y^{2}+4y+4-2y^{2}-4y
Use the distributive property to multiply -2y by y+2.
-y^{2}+4y+4-4y
Combine y^{2} and -2y^{2} to get -y^{2}.
-y^{2}+4
Combine 4y and -4y to get 0.
y^{2}+4y+4-2y\left(y+2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+2\right)^{2}.
y^{2}+4y+4-2y^{2}-4y
Use the distributive property to multiply -2y by y+2.
-y^{2}+4y+4-4y
Combine y^{2} and -2y^{2} to get -y^{2}.
-y^{2}+4
Combine 4y and -4y to get 0.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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