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x^{2}+10x+25-\left(x-5\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
x^{2}+10x+25-\left(x^{2}-10x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
x^{2}+10x+25-x^{2}+10x-25
To find the opposite of x^{2}-10x+25, find the opposite of each term.
10x+25+10x-25
Combine x^{2} and -x^{2} to get 0.
20x+25-25
Combine 10x and 10x to get 20x.
20x
Subtract 25 from 25 to get 0.
x^{2}+10x+25-\left(x-5\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
x^{2}+10x+25-\left(x^{2}-10x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
x^{2}+10x+25-x^{2}+10x-25
To find the opposite of x^{2}-10x+25, find the opposite of each term.
10x+25+10x-25
Combine x^{2} and -x^{2} to get 0.
20x+25-25
Combine 10x and 10x to get 20x.
20x
Subtract 25 from 25 to get 0.
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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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