Evaluate
12\left(x+2\right)
Expand
12x+24
Graph
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x^{2}+10x+25-\left(x-1\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}-2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}+10x+25-x^{2}+2x-1
To find the opposite of x^{2}-2x+1, find the opposite of each term.
10x+25+2x-1
Combine x^{2} and -x^{2} to get 0.
12x+25-1
Combine 10x and 2x to get 12x.
12x+24
Subtract 1 from 25 to get 24.
x^{2}+10x+25-\left(x-1\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}-2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}+10x+25-x^{2}+2x-1
To find the opposite of x^{2}-2x+1, find the opposite of each term.
10x+25+2x-1
Combine x^{2} and -x^{2} to get 0.
12x+25-1
Combine 10x and 2x to get 12x.
12x+24
Subtract 1 from 25 to get 24.
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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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