Evaluate
\left(-4x-3\right)\left(4x-5\right)
Expand
15+8x-16x^{2}
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9-12x^{2}+12x-2\left(2x-3+2x^{2}\right)
Use the distributive property to multiply 3 by 3-4x^{2}+4x.
9-12x^{2}+12x-4x+6-4x^{2}
Use the distributive property to multiply -2 by 2x-3+2x^{2}.
9-12x^{2}+8x+6-4x^{2}
Combine 12x and -4x to get 8x.
15-12x^{2}+8x-4x^{2}
Add 9 and 6 to get 15.
15-16x^{2}+8x
Combine -12x^{2} and -4x^{2} to get -16x^{2}.
9-12x^{2}+12x-2\left(2x-3+2x^{2}\right)
Use the distributive property to multiply 3 by 3-4x^{2}+4x.
9-12x^{2}+12x-4x+6-4x^{2}
Use the distributive property to multiply -2 by 2x-3+2x^{2}.
9-12x^{2}+8x+6-4x^{2}
Combine 12x and -4x to get 8x.
15-12x^{2}+8x-4x^{2}
Add 9 and 6 to get 15.
15-16x^{2}+8x
Combine -12x^{2} and -4x^{2} to get -16x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}