Evaluate
\left(x-1\right)\left(2x+5\right)\left(25-9x^{2}\right)
Expand
-18x^{4}-27x^{3}+95x^{2}+75x-125
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\left(3x^{2}-3x+5x-5\right)\left(-3x+5\right)\left(2x+5\right)
Apply the distributive property by multiplying each term of 3x+5 by each term of x-1.
\left(3x^{2}+2x-5\right)\left(-3x+5\right)\left(2x+5\right)
Combine -3x and 5x to get 2x.
\left(-9x^{3}+15x^{2}-6x^{2}+10x+15x-25\right)\left(2x+5\right)
Apply the distributive property by multiplying each term of 3x^{2}+2x-5 by each term of -3x+5.
\left(-9x^{3}+9x^{2}+10x+15x-25\right)\left(2x+5\right)
Combine 15x^{2} and -6x^{2} to get 9x^{2}.
\left(-9x^{3}+9x^{2}+25x-25\right)\left(2x+5\right)
Combine 10x and 15x to get 25x.
-18x^{4}-45x^{3}+18x^{3}+45x^{2}+50x^{2}+125x-50x-125
Apply the distributive property by multiplying each term of -9x^{3}+9x^{2}+25x-25 by each term of 2x+5.
-18x^{4}-27x^{3}+45x^{2}+50x^{2}+125x-50x-125
Combine -45x^{3} and 18x^{3} to get -27x^{3}.
-18x^{4}-27x^{3}+95x^{2}+125x-50x-125
Combine 45x^{2} and 50x^{2} to get 95x^{2}.
-18x^{4}-27x^{3}+95x^{2}+75x-125
Combine 125x and -50x to get 75x.
\left(3x^{2}-3x+5x-5\right)\left(-3x+5\right)\left(2x+5\right)
Apply the distributive property by multiplying each term of 3x+5 by each term of x-1.
\left(3x^{2}+2x-5\right)\left(-3x+5\right)\left(2x+5\right)
Combine -3x and 5x to get 2x.
\left(-9x^{3}+15x^{2}-6x^{2}+10x+15x-25\right)\left(2x+5\right)
Apply the distributive property by multiplying each term of 3x^{2}+2x-5 by each term of -3x+5.
\left(-9x^{3}+9x^{2}+10x+15x-25\right)\left(2x+5\right)
Combine 15x^{2} and -6x^{2} to get 9x^{2}.
\left(-9x^{3}+9x^{2}+25x-25\right)\left(2x+5\right)
Combine 10x and 15x to get 25x.
-18x^{4}-45x^{3}+18x^{3}+45x^{2}+50x^{2}+125x-50x-125
Apply the distributive property by multiplying each term of -9x^{3}+9x^{2}+25x-25 by each term of 2x+5.
-18x^{4}-27x^{3}+45x^{2}+50x^{2}+125x-50x-125
Combine -45x^{3} and 18x^{3} to get -27x^{3}.
-18x^{4}-27x^{3}+95x^{2}+125x-50x-125
Combine 45x^{2} and 50x^{2} to get 95x^{2}.
-18x^{4}-27x^{3}+95x^{2}+75x-125
Combine 125x and -50x to get 75x.
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}