Evaluate
-8\sqrt{15}-31\approx -61.98386677
Factor
-\left(8\sqrt{15}+31\right)
Share
Copied to clipboard
\left(-\sqrt{15}-4\right)\left(\sqrt{15}+4\right)
To find the opposite of \sqrt{15}+4, find the opposite of each term.
-\left(\sqrt{15}\right)^{2}-4\sqrt{15}-4\sqrt{15}-16
Apply the distributive property by multiplying each term of -\sqrt{15}-4 by each term of \sqrt{15}+4.
-15-4\sqrt{15}-4\sqrt{15}-16
The square of \sqrt{15} is 15.
-15-8\sqrt{15}-16
Combine -4\sqrt{15} and -4\sqrt{15} to get -8\sqrt{15}.
-31-8\sqrt{15}
Subtract 16 from -15 to get -31.
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}