Evaluate
25x^{2}+\frac{7x}{9}-\frac{2}{9}
Expand
25x^{2}+\frac{7x}{9}-\frac{2}{9}
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25x^{2}+5x\left(-\frac{2}{5}\right)+\frac{5}{9}\times 5x+\frac{5}{9}\left(-\frac{2}{5}\right)
Apply the distributive property by multiplying each term of 5x+\frac{5}{9} by each term of 5x-\frac{2}{5}.
25x^{2}-2x+\frac{5}{9}\times 5x+\frac{5}{9}\left(-\frac{2}{5}\right)
Cancel out 5 and 5.
25x^{2}-2x+\frac{5\times 5}{9}x+\frac{5}{9}\left(-\frac{2}{5}\right)
Express \frac{5}{9}\times 5 as a single fraction.
25x^{2}-2x+\frac{25}{9}x+\frac{5}{9}\left(-\frac{2}{5}\right)
Multiply 5 and 5 to get 25.
25x^{2}+\frac{7}{9}x+\frac{5}{9}\left(-\frac{2}{5}\right)
Combine -2x and \frac{25}{9}x to get \frac{7}{9}x.
25x^{2}+\frac{7}{9}x+\frac{5\left(-2\right)}{9\times 5}
Multiply \frac{5}{9} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
25x^{2}+\frac{7}{9}x+\frac{-2}{9}
Cancel out 5 in both numerator and denominator.
25x^{2}+\frac{7}{9}x-\frac{2}{9}
Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.
25x^{2}+5x\left(-\frac{2}{5}\right)+\frac{5}{9}\times 5x+\frac{5}{9}\left(-\frac{2}{5}\right)
Apply the distributive property by multiplying each term of 5x+\frac{5}{9} by each term of 5x-\frac{2}{5}.
25x^{2}-2x+\frac{5}{9}\times 5x+\frac{5}{9}\left(-\frac{2}{5}\right)
Cancel out 5 and 5.
25x^{2}-2x+\frac{5\times 5}{9}x+\frac{5}{9}\left(-\frac{2}{5}\right)
Express \frac{5}{9}\times 5 as a single fraction.
25x^{2}-2x+\frac{25}{9}x+\frac{5}{9}\left(-\frac{2}{5}\right)
Multiply 5 and 5 to get 25.
25x^{2}+\frac{7}{9}x+\frac{5}{9}\left(-\frac{2}{5}\right)
Combine -2x and \frac{25}{9}x to get \frac{7}{9}x.
25x^{2}+\frac{7}{9}x+\frac{5\left(-2\right)}{9\times 5}
Multiply \frac{5}{9} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
25x^{2}+\frac{7}{9}x+\frac{-2}{9}
Cancel out 5 in both numerator and denominator.
25x^{2}+\frac{7}{9}x-\frac{2}{9}
Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.
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}