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4a^{2}+10a+7
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4a^{2}+10a+7
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4\left(a^{2}+4a+4\right)-6\left(a+2\right)+3
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+2\right)^{2}.
4a^{2}+16a+16-6\left(a+2\right)+3
Use the distributive property to multiply 4 by a^{2}+4a+4.
4a^{2}+16a+16-6a-12+3
Use the distributive property to multiply -6 by a+2.
4a^{2}+10a+16-12+3
Combine 16a and -6a to get 10a.
4a^{2}+10a+4+3
Subtract 12 from 16 to get 4.
4a^{2}+10a+7
Add 4 and 3 to get 7.
4\left(a^{2}+4a+4\right)-6\left(a+2\right)+3
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+2\right)^{2}.
4a^{2}+16a+16-6\left(a+2\right)+3
Use the distributive property to multiply 4 by a^{2}+4a+4.
4a^{2}+16a+16-6a-12+3
Use the distributive property to multiply -6 by a+2.
4a^{2}+10a+16-12+3
Combine 16a and -6a to get 10a.
4a^{2}+10a+4+3
Subtract 12 from 16 to get 4.
4a^{2}+10a+7
Add 4 and 3 to get 7.
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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.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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