Evaluate
\left(2m-1\right)\left(4m-1\right)
Expand
8m^{2}-6m+1
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2\left(4m^{2}+4m+1\right)-7\left(2m+1\right)+6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+1\right)^{2}.
8m^{2}+8m+2-7\left(2m+1\right)+6
Use the distributive property to multiply 2 by 4m^{2}+4m+1.
8m^{2}+8m+2-14m-7+6
Use the distributive property to multiply -7 by 2m+1.
8m^{2}-6m+2-7+6
Combine 8m and -14m to get -6m.
8m^{2}-6m-5+6
Subtract 7 from 2 to get -5.
8m^{2}-6m+1
Add -5 and 6 to get 1.
2\left(4m^{2}+4m+1\right)-7\left(2m+1\right)+6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+1\right)^{2}.
8m^{2}+8m+2-7\left(2m+1\right)+6
Use the distributive property to multiply 2 by 4m^{2}+4m+1.
8m^{2}+8m+2-14m-7+6
Use the distributive property to multiply -7 by 2m+1.
8m^{2}-6m+2-7+6
Combine 8m and -14m to get -6m.
8m^{2}-6m-5+6
Subtract 7 from 2 to get -5.
8m^{2}-6m+1
Add -5 and 6 to get 1.
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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