Evaluate
2\left(x+1\right)^{2}
Expand
2x^{2}+4x+2
Graph
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2\left(x^{2}+12x+36\right)-\left(20x+70\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
2x^{2}+24x+72-\left(20x+70\right)
Use the distributive property to multiply 2 by x^{2}+12x+36.
2x^{2}+24x+72-20x-70
To find the opposite of 20x+70, find the opposite of each term.
2x^{2}+4x+72-70
Combine 24x and -20x to get 4x.
2x^{2}+4x+2
Subtract 70 from 72 to get 2.
2\left(x^{2}+12x+36\right)-\left(20x+70\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
2x^{2}+24x+72-\left(20x+70\right)
Use the distributive property to multiply 2 by x^{2}+12x+36.
2x^{2}+24x+72-20x-70
To find the opposite of 20x+70, find the opposite of each term.
2x^{2}+4x+72-70
Combine 24x and -20x to get 4x.
2x^{2}+4x+2
Subtract 70 from 72 to get 2.
Examples
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y = 3x + 4
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Simultaneous equation
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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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