Evaluate
-8x^{2}-19x-7
Expand
-8x^{2}-19x-7
Graph
Share
Copied to clipboard
\left(2x+6\right)\left(-3x-2\right)-\left(2x-5\right)\left(x+1\right)
Use the distributive property to multiply 2 by x+3.
-6x^{2}-4x-18x-12-\left(2x-5\right)\left(x+1\right)
Apply the distributive property by multiplying each term of 2x+6 by each term of -3x-2.
-6x^{2}-22x-12-\left(2x-5\right)\left(x+1\right)
Combine -4x and -18x to get -22x.
-6x^{2}-22x-12-\left(2x^{2}+2x-5x-5\right)
Apply the distributive property by multiplying each term of 2x-5 by each term of x+1.
-6x^{2}-22x-12-\left(2x^{2}-3x-5\right)
Combine 2x and -5x to get -3x.
-6x^{2}-22x-12-2x^{2}-\left(-3x\right)-\left(-5\right)
To find the opposite of 2x^{2}-3x-5, find the opposite of each term.
-6x^{2}-22x-12-2x^{2}+3x-\left(-5\right)
The opposite of -3x is 3x.
-6x^{2}-22x-12-2x^{2}+3x+5
The opposite of -5 is 5.
-8x^{2}-22x-12+3x+5
Combine -6x^{2} and -2x^{2} to get -8x^{2}.
-8x^{2}-19x-12+5
Combine -22x and 3x to get -19x.
-8x^{2}-19x-7
Add -12 and 5 to get -7.
\left(2x+6\right)\left(-3x-2\right)-\left(2x-5\right)\left(x+1\right)
Use the distributive property to multiply 2 by x+3.
-6x^{2}-4x-18x-12-\left(2x-5\right)\left(x+1\right)
Apply the distributive property by multiplying each term of 2x+6 by each term of -3x-2.
-6x^{2}-22x-12-\left(2x-5\right)\left(x+1\right)
Combine -4x and -18x to get -22x.
-6x^{2}-22x-12-\left(2x^{2}+2x-5x-5\right)
Apply the distributive property by multiplying each term of 2x-5 by each term of x+1.
-6x^{2}-22x-12-\left(2x^{2}-3x-5\right)
Combine 2x and -5x to get -3x.
-6x^{2}-22x-12-2x^{2}-\left(-3x\right)-\left(-5\right)
To find the opposite of 2x^{2}-3x-5, find the opposite of each term.
-6x^{2}-22x-12-2x^{2}+3x-\left(-5\right)
The opposite of -3x is 3x.
-6x^{2}-22x-12-2x^{2}+3x+5
The opposite of -5 is 5.
-8x^{2}-22x-12+3x+5
Combine -6x^{2} and -2x^{2} to get -8x^{2}.
-8x^{2}-19x-12+5
Combine -22x and 3x to get -19x.
-8x^{2}-19x-7
Add -12 and 5 to get -7.
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}