Evaluate
-\frac{\left(M-2\right)^{2}}{5}+2m-5
Expand
-\frac{M^{2}}{5}+\frac{4M}{5}+2m-\frac{29}{5}
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-\frac{1}{5}\left(M^{2}-4M+4\right)+2m-5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(M-2\right)^{2}.
-\frac{1}{5}M^{2}+\frac{4}{5}M-\frac{4}{5}+2m-5
Use the distributive property to multiply -\frac{1}{5} by M^{2}-4M+4.
-\frac{1}{5}M^{2}+\frac{4}{5}M-\frac{29}{5}+2m
Subtract 5 from -\frac{4}{5} to get -\frac{29}{5}.
-\frac{1}{5}\left(M^{2}-4M+4\right)+2m-5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(M-2\right)^{2}.
-\frac{1}{5}M^{2}+\frac{4}{5}M-\frac{4}{5}+2m-5
Use the distributive property to multiply -\frac{1}{5} by M^{2}-4M+4.
-\frac{1}{5}M^{2}+\frac{4}{5}M-\frac{29}{5}+2m
Subtract 5 from -\frac{4}{5} to get -\frac{29}{5}.
Examples
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y = 3x + 4
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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