Evaluate
\left(y+7\right)^{2}
Expand
y^{2}+14y+49
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y^{2}+10y+25+4\left(y+5\right)+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+5\right)^{2}.
y^{2}+10y+25+4y+20+4
Use the distributive property to multiply 4 by y+5.
y^{2}+14y+25+20+4
Combine 10y and 4y to get 14y.
y^{2}+14y+45+4
Add 25 and 20 to get 45.
y^{2}+14y+49
Add 45 and 4 to get 49.
y^{2}+10y+25+4\left(y+5\right)+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+5\right)^{2}.
y^{2}+10y+25+4y+20+4
Use the distributive property to multiply 4 by y+5.
y^{2}+14y+25+20+4
Combine 10y and 4y to get 14y.
y^{2}+14y+45+4
Add 25 and 20 to get 45.
y^{2}+14y+49
Add 45 and 4 to get 49.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}