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-8a^{2}-5b^{2}
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-8a^{2}-5b^{2}
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a^{2}-b^{2}-4a^{2}+b^{2}-5\left(a^{2}+b^{2}\right)
To find the opposite of 4a^{2}-b^{2}, find the opposite of each term.
-3a^{2}-b^{2}+b^{2}-5\left(a^{2}+b^{2}\right)
Combine a^{2} and -4a^{2} to get -3a^{2}.
-3a^{2}-5\left(a^{2}+b^{2}\right)
Combine -b^{2} and b^{2} to get 0.
-3a^{2}-5a^{2}-5b^{2}
Use the distributive property to multiply -5 by a^{2}+b^{2}.
-8a^{2}-5b^{2}
Combine -3a^{2} and -5a^{2} to get -8a^{2}.
a^{2}-b^{2}-4a^{2}+b^{2}-5\left(a^{2}+b^{2}\right)
To find the opposite of 4a^{2}-b^{2}, find the opposite of each term.
-3a^{2}-b^{2}+b^{2}-5\left(a^{2}+b^{2}\right)
Combine a^{2} and -4a^{2} to get -3a^{2}.
-3a^{2}-5\left(a^{2}+b^{2}\right)
Combine -b^{2} and b^{2} to get 0.
-3a^{2}-5a^{2}-5b^{2}
Use the distributive property to multiply -5 by a^{2}+b^{2}.
-8a^{2}-5b^{2}
Combine -3a^{2} and -5a^{2} to get -8a^{2}.
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\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]
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\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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