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16x^{2}+8x+2
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16x^{2}+8x+2
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4x^{2}+4x+1+8x^{2}+8x+\left(2x-1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+1\right)^{2}.
12x^{2}+4x+1+8x+\left(2x-1\right)^{2}
Combine 4x^{2} and 8x^{2} to get 12x^{2}.
12x^{2}+12x+1+\left(2x-1\right)^{2}
Combine 4x and 8x to get 12x.
12x^{2}+12x+1+4x^{2}-4x+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-1\right)^{2}.
16x^{2}+12x+1-4x+1
Combine 12x^{2} and 4x^{2} to get 16x^{2}.
16x^{2}+8x+1+1
Combine 12x and -4x to get 8x.
16x^{2}+8x+2
Add 1 and 1 to get 2.
4x^{2}+4x+1+8x^{2}+8x+\left(2x-1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+1\right)^{2}.
12x^{2}+4x+1+8x+\left(2x-1\right)^{2}
Combine 4x^{2} and 8x^{2} to get 12x^{2}.
12x^{2}+12x+1+\left(2x-1\right)^{2}
Combine 4x and 8x to get 12x.
12x^{2}+12x+1+4x^{2}-4x+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-1\right)^{2}.
16x^{2}+12x+1-4x+1
Combine 12x^{2} and 4x^{2} to get 16x^{2}.
16x^{2}+8x+1+1
Combine 12x and -4x to get 8x.
16x^{2}+8x+2
Add 1 and 1 to get 2.
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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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