Evaluate
\left(x+5\right)\left(3x+7\right)
Expand
3x^{2}+22x+35
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x^{2}+10x+25+\left(2x+10\right)\left(x+1\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+2x^{2}+12x+10
Use the distributive property to multiply 2x+10 by x+1 and combine like terms.
3x^{2}+10x+25+12x+10
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+22x+25+10
Combine 10x and 12x to get 22x.
3x^{2}+22x+35
Add 25 and 10 to get 35.
x^{2}+10x+25+\left(2x+10\right)\left(x+1\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+2x^{2}+12x+10
Use the distributive property to multiply 2x+10 by x+1 and combine like terms.
3x^{2}+10x+25+12x+10
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+22x+25+10
Combine 10x and 12x to get 22x.
3x^{2}+22x+35
Add 25 and 10 to get 35.
Examples
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y = 3x + 4
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Matrix
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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
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