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32x^{2}+68x+25
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32x^{2}+68x+25
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2\left(16x^{2}+24x+9\right)+5\left(4x+3\right)-8
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+3\right)^{2}.
32x^{2}+48x+18+5\left(4x+3\right)-8
Use the distributive property to multiply 2 by 16x^{2}+24x+9.
32x^{2}+48x+18+20x+15-8
Use the distributive property to multiply 5 by 4x+3.
32x^{2}+68x+18+15-8
Combine 48x and 20x to get 68x.
32x^{2}+68x+33-8
Add 18 and 15 to get 33.
32x^{2}+68x+25
Subtract 8 from 33 to get 25.
2\left(16x^{2}+24x+9\right)+5\left(4x+3\right)-8
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+3\right)^{2}.
32x^{2}+48x+18+5\left(4x+3\right)-8
Use the distributive property to multiply 2 by 16x^{2}+24x+9.
32x^{2}+48x+18+20x+15-8
Use the distributive property to multiply 5 by 4x+3.
32x^{2}+68x+18+15-8
Combine 48x and 20x to get 68x.
32x^{2}+68x+33-8
Add 18 and 15 to get 33.
32x^{2}+68x+25
Subtract 8 from 33 to get 25.
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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