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24x+9
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24x+9
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6x^{2}+5x-21-\left(x-5\right)\left(5x+6\right)-x^{2}
Use the distributive property to multiply 2x-3 by 3x+7 and combine like terms.
6x^{2}+5x-21-\left(5x^{2}-19x-30\right)-x^{2}
Use the distributive property to multiply x-5 by 5x+6 and combine like terms.
6x^{2}+5x-21-5x^{2}+19x+30-x^{2}
To find the opposite of 5x^{2}-19x-30, find the opposite of each term.
x^{2}+5x-21+19x+30-x^{2}
Combine 6x^{2} and -5x^{2} to get x^{2}.
x^{2}+24x-21+30-x^{2}
Combine 5x and 19x to get 24x.
x^{2}+24x+9-x^{2}
Add -21 and 30 to get 9.
24x+9
Combine x^{2} and -x^{2} to get 0.
6x^{2}+5x-21-\left(x-5\right)\left(5x+6\right)-x^{2}
Use the distributive property to multiply 2x-3 by 3x+7 and combine like terms.
6x^{2}+5x-21-\left(5x^{2}-19x-30\right)-x^{2}
Use the distributive property to multiply x-5 by 5x+6 and combine like terms.
6x^{2}+5x-21-5x^{2}+19x+30-x^{2}
To find the opposite of 5x^{2}-19x-30, find the opposite of each term.
x^{2}+5x-21+19x+30-x^{2}
Combine 6x^{2} and -5x^{2} to get x^{2}.
x^{2}+24x-21+30-x^{2}
Combine 5x and 19x to get 24x.
x^{2}+24x+9-x^{2}
Add -21 and 30 to get 9.
24x+9
Combine x^{2} and -x^{2} to get 0.
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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}