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20y^{2}-13y-3
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20y^{2}-13y-3
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7y^{2}+2y-3+5y^{2}-6y-5+8y^{2}-9y+5
To find the opposite of -5y^{2}+6y+5, find the opposite of each term.
12y^{2}+2y-3-6y-5+8y^{2}-9y+5
Combine 7y^{2} and 5y^{2} to get 12y^{2}.
12y^{2}-4y-3-5+8y^{2}-9y+5
Combine 2y and -6y to get -4y.
12y^{2}-4y-8+8y^{2}-9y+5
Subtract 5 from -3 to get -8.
20y^{2}-4y-8-9y+5
Combine 12y^{2} and 8y^{2} to get 20y^{2}.
20y^{2}-13y-8+5
Combine -4y and -9y to get -13y.
20y^{2}-13y-3
Add -8 and 5 to get -3.
7y^{2}+2y-3+5y^{2}-6y-5+8y^{2}-9y+5
To find the opposite of -5y^{2}+6y+5, find the opposite of each term.
12y^{2}+2y-3-6y-5+8y^{2}-9y+5
Combine 7y^{2} and 5y^{2} to get 12y^{2}.
12y^{2}-4y-3-5+8y^{2}-9y+5
Combine 2y and -6y to get -4y.
12y^{2}-4y-8+8y^{2}-9y+5
Subtract 5 from -3 to get -8.
20y^{2}-4y-8-9y+5
Combine 12y^{2} and 8y^{2} to get 20y^{2}.
20y^{2}-13y-8+5
Combine -4y and -9y to get -13y.
20y^{2}-13y-3
Add -8 and 5 to get -3.
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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}