Evaluate
-2x\left(4x+3\right)
Expand
-8x^{2}-6x
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8x^{2}+6x+4x+3-5x\left(4x+3\right)+\left(x-1\right)\left(4x+3\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of 4x+3.
8x^{2}+10x+3-5x\left(4x+3\right)+\left(x-1\right)\left(4x+3\right)
Combine 6x and 4x to get 10x.
8x^{2}+10x+3-5x\left(4x+3\right)+4x^{2}+3x-4x-3
Apply the distributive property by multiplying each term of x-1 by each term of 4x+3.
8x^{2}+10x+3-5x\left(4x+3\right)+4x^{2}-x-3
Combine 3x and -4x to get -x.
8x^{2}+10x+3-20x^{2}-15x+4x^{2}-x-3
Use the distributive property to multiply -5x by 4x+3.
-12x^{2}+10x+3-15x+4x^{2}-x-3
Combine 8x^{2} and -20x^{2} to get -12x^{2}.
-12x^{2}-5x+3+4x^{2}-x-3
Combine 10x and -15x to get -5x.
-8x^{2}-5x+3-x-3
Combine -12x^{2} and 4x^{2} to get -8x^{2}.
-8x^{2}-6x+3-3
Combine -5x and -x to get -6x.
-8x^{2}-6x
Subtract 3 from 3 to get 0.
8x^{2}+6x+4x+3-5x\left(4x+3\right)+\left(x-1\right)\left(4x+3\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of 4x+3.
8x^{2}+10x+3-5x\left(4x+3\right)+\left(x-1\right)\left(4x+3\right)
Combine 6x and 4x to get 10x.
8x^{2}+10x+3-5x\left(4x+3\right)+4x^{2}+3x-4x-3
Apply the distributive property by multiplying each term of x-1 by each term of 4x+3.
8x^{2}+10x+3-5x\left(4x+3\right)+4x^{2}-x-3
Combine 3x and -4x to get -x.
8x^{2}+10x+3-20x^{2}-15x+4x^{2}-x-3
Use the distributive property to multiply -5x by 4x+3.
-12x^{2}+10x+3-15x+4x^{2}-x-3
Combine 8x^{2} and -20x^{2} to get -12x^{2}.
-12x^{2}-5x+3+4x^{2}-x-3
Combine 10x and -15x to get -5x.
-8x^{2}-5x+3-x-3
Combine -12x^{2} and 4x^{2} to get -8x^{2}.
-8x^{2}-6x+3-3
Combine -5x and -x to get -6x.
-8x^{2}-6x
Subtract 3 from 3 to get 0.
Examples
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{ 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}