(2x- { 3 }^{ 2 } -(5y-1)(5y+2
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2x-25y^{2}-5y-7
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2x-25y^{2}-5y-7
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2x-9-\left(5y-1\right)\left(5y+2\right)
Calculate 3 to the power of 2 and get 9.
2x-9-\left(25y^{2}+10y-5y-2\right)
Apply the distributive property by multiplying each term of 5y-1 by each term of 5y+2.
2x-9-\left(25y^{2}+5y-2\right)
Combine 10y and -5y to get 5y.
2x-9-25y^{2}-5y-\left(-2\right)
To find the opposite of 25y^{2}+5y-2, find the opposite of each term.
2x-9-25y^{2}-5y+2
The opposite of -2 is 2.
2x-7-25y^{2}-5y
Add -9 and 2 to get -7.
2x-9-\left(5y-1\right)\left(5y+2\right)
Calculate 3 to the power of 2 and get 9.
2x-9-\left(25y^{2}+10y-5y-2\right)
Apply the distributive property by multiplying each term of 5y-1 by each term of 5y+2.
2x-9-\left(25y^{2}+5y-2\right)
Combine 10y and -5y to get 5y.
2x-9-25y^{2}-5y-\left(-2\right)
To find the opposite of 25y^{2}+5y-2, find the opposite of each term.
2x-9-25y^{2}-5y+2
The opposite of -2 is 2.
2x-7-25y^{2}-5y
Add -9 and 2 to get -7.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}