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x^{2}+6x+24
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x^{2}+6x+24
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2\times \frac{\left(x-4\right)\left(x+4\right)}{x-4}+\frac{x^{3}-64}{x-4}
Factor the expressions that are not already factored in \frac{x^{2}-16}{x-4}.
2\left(x+4\right)+\frac{x^{3}-64}{x-4}
Cancel out x-4 in both numerator and denominator.
2x+8+\frac{x^{3}-64}{x-4}
Use the distributive property to multiply 2 by x+4.
2x+8+\frac{\left(x-4\right)\left(x^{2}+4x+16\right)}{x-4}
Factor the expressions that are not already factored in \frac{x^{3}-64}{x-4}.
2x+8+x^{2}+4x+16
Cancel out x-4 in both numerator and denominator.
6x+8+x^{2}+16
Combine 2x and 4x to get 6x.
6x+24+x^{2}
Add 8 and 16 to get 24.
2\times \frac{\left(x-4\right)\left(x+4\right)}{x-4}+\frac{x^{3}-64}{x-4}
Factor the expressions that are not already factored in \frac{x^{2}-16}{x-4}.
2\left(x+4\right)+\frac{x^{3}-64}{x-4}
Cancel out x-4 in both numerator and denominator.
2x+8+\frac{x^{3}-64}{x-4}
Use the distributive property to multiply 2 by x+4.
2x+8+\frac{\left(x-4\right)\left(x^{2}+4x+16\right)}{x-4}
Factor the expressions that are not already factored in \frac{x^{3}-64}{x-4}.
2x+8+x^{2}+4x+16
Cancel out x-4 in both numerator and denominator.
6x+8+x^{2}+16
Combine 2x and 4x to get 6x.
6x+24+x^{2}
Add 8 and 16 to get 24.
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Simultaneous equation
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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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