Evaluate
40\left(x^{2}+3x+3\right)
Expand
40x^{2}+120x+120
Graph
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40+40+40x+40\left(1+x\right)^{2}
Use the distributive property to multiply 40 by 1+x.
80+40x+40\left(1+x\right)^{2}
Add 40 and 40 to get 80.
80+40x+40\left(1+2x+x^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
80+40x+40+80x+40x^{2}
Use the distributive property to multiply 40 by 1+2x+x^{2}.
120+40x+80x+40x^{2}
Add 80 and 40 to get 120.
120+120x+40x^{2}
Combine 40x and 80x to get 120x.
40+40+40x+40\left(1+x\right)^{2}
Use the distributive property to multiply 40 by 1+x.
80+40x+40\left(1+x\right)^{2}
Add 40 and 40 to get 80.
80+40x+40\left(1+2x+x^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
80+40x+40+80x+40x^{2}
Use the distributive property to multiply 40 by 1+2x+x^{2}.
120+40x+80x+40x^{2}
Add 80 and 40 to get 120.
120+120x+40x^{2}
Combine 40x and 80x to get 120x.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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