Evaluate
\left(x-6\right)\left(x-4\right)\left(x+2\right)\left(x+3\right)+49
Expand
x^{4}-5x^{3}-20x^{2}+60x+193
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\left(x^{2}+3x+2x+6\right)\left(x-4\right)\left(x-6\right)+49
Apply the distributive property by multiplying each term of x+2 by each term of x+3.
\left(x^{2}+5x+6\right)\left(x-4\right)\left(x-6\right)+49
Combine 3x and 2x to get 5x.
\left(x^{3}-4x^{2}+5x^{2}-20x+6x-24\right)\left(x-6\right)+49
Apply the distributive property by multiplying each term of x^{2}+5x+6 by each term of x-4.
\left(x^{3}+x^{2}-20x+6x-24\right)\left(x-6\right)+49
Combine -4x^{2} and 5x^{2} to get x^{2}.
\left(x^{3}+x^{2}-14x-24\right)\left(x-6\right)+49
Combine -20x and 6x to get -14x.
x^{4}-6x^{3}+x^{3}-6x^{2}-14x^{2}+84x-24x+144+49
Apply the distributive property by multiplying each term of x^{3}+x^{2}-14x-24 by each term of x-6.
x^{4}-5x^{3}-6x^{2}-14x^{2}+84x-24x+144+49
Combine -6x^{3} and x^{3} to get -5x^{3}.
x^{4}-5x^{3}-20x^{2}+84x-24x+144+49
Combine -6x^{2} and -14x^{2} to get -20x^{2}.
x^{4}-5x^{3}-20x^{2}+60x+144+49
Combine 84x and -24x to get 60x.
x^{4}-5x^{3}-20x^{2}+60x+193
Add 144 and 49 to get 193.
\left(x^{2}+3x+2x+6\right)\left(x-4\right)\left(x-6\right)+49
Apply the distributive property by multiplying each term of x+2 by each term of x+3.
\left(x^{2}+5x+6\right)\left(x-4\right)\left(x-6\right)+49
Combine 3x and 2x to get 5x.
\left(x^{3}-4x^{2}+5x^{2}-20x+6x-24\right)\left(x-6\right)+49
Apply the distributive property by multiplying each term of x^{2}+5x+6 by each term of x-4.
\left(x^{3}+x^{2}-20x+6x-24\right)\left(x-6\right)+49
Combine -4x^{2} and 5x^{2} to get x^{2}.
\left(x^{3}+x^{2}-14x-24\right)\left(x-6\right)+49
Combine -20x and 6x to get -14x.
x^{4}-6x^{3}+x^{3}-6x^{2}-14x^{2}+84x-24x+144+49
Apply the distributive property by multiplying each term of x^{3}+x^{2}-14x-24 by each term of x-6.
x^{4}-5x^{3}-6x^{2}-14x^{2}+84x-24x+144+49
Combine -6x^{3} and x^{3} to get -5x^{3}.
x^{4}-5x^{3}-20x^{2}+84x-24x+144+49
Combine -6x^{2} and -14x^{2} to get -20x^{2}.
x^{4}-5x^{3}-20x^{2}+60x+144+49
Combine 84x and -24x to get 60x.
x^{4}-5x^{3}-20x^{2}+60x+193
Add 144 and 49 to get 193.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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