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3x^{2}+21x+10
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3x^{2}+21x+10
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x^{2}+5x+2x+10+2x\left(x+7\right)
Apply the distributive property by multiplying each term of x+2 by each term of x+5.
x^{2}+7x+10+2x\left(x+7\right)
Combine 5x and 2x to get 7x.
x^{2}+7x+10+2x^{2}+14x
Use the distributive property to multiply 2x by x+7.
3x^{2}+7x+10+14x
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+21x+10
Combine 7x and 14x to get 21x.
x^{2}+5x+2x+10+2x\left(x+7\right)
Apply the distributive property by multiplying each term of x+2 by each term of x+5.
x^{2}+7x+10+2x\left(x+7\right)
Combine 5x and 2x to get 7x.
x^{2}+7x+10+2x^{2}+14x
Use the distributive property to multiply 2x by x+7.
3x^{2}+7x+10+14x
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+21x+10
Combine 7x and 14x to get 21x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}