Evaluate
\frac{\left(x+1\right)\left(x+6\right)}{5}
Expand
\frac{x^{2}+7x+6}{5}
Graph
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x+1+0.2\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+1+0.2x^{2}+0.4x+0.2
Use the distributive property to multiply 0.2 by x^{2}+2x+1.
1.4x+1+0.2x^{2}+0.2
Combine x and 0.4x to get 1.4x.
1.4x+1.2+0.2x^{2}
Add 1 and 0.2 to get 1.2.
x+1+0.2\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+1+0.2x^{2}+0.4x+0.2
Use the distributive property to multiply 0.2 by x^{2}+2x+1.
1.4x+1+0.2x^{2}+0.2
Combine x and 0.4x to get 1.4x.
1.4x+1.2+0.2x^{2}
Add 1 and 0.2 to get 1.2.
Examples
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Differentiation
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Limits
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