Evaluate
\left(3-4x\right)^{2}
Expand
16x^{2}-24x+9
Graph
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x^{2}+4x+4-2\left(x+2\right)\left(5x-1\right)+\left(5x-1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4-2\left(x+2\right)\left(5x-1\right)+25x^{2}-10x+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-1\right)^{2}.
x^{2}+4x+4+\left(-2x-4\right)\left(5x-1\right)+25x^{2}-10x+1
Use the distributive property to multiply -2 by x+2.
x^{2}+4x+4-10x^{2}-18x+4+25x^{2}-10x+1
Use the distributive property to multiply -2x-4 by 5x-1 and combine like terms.
-9x^{2}+4x+4-18x+4+25x^{2}-10x+1
Combine x^{2} and -10x^{2} to get -9x^{2}.
-9x^{2}-14x+4+4+25x^{2}-10x+1
Combine 4x and -18x to get -14x.
-9x^{2}-14x+8+25x^{2}-10x+1
Add 4 and 4 to get 8.
16x^{2}-14x+8-10x+1
Combine -9x^{2} and 25x^{2} to get 16x^{2}.
16x^{2}-24x+8+1
Combine -14x and -10x to get -24x.
16x^{2}-24x+9
Add 8 and 1 to get 9.
x^{2}+4x+4-2\left(x+2\right)\left(5x-1\right)+\left(5x-1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4-2\left(x+2\right)\left(5x-1\right)+25x^{2}-10x+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-1\right)^{2}.
x^{2}+4x+4+\left(-2x-4\right)\left(5x-1\right)+25x^{2}-10x+1
Use the distributive property to multiply -2 by x+2.
x^{2}+4x+4-10x^{2}-18x+4+25x^{2}-10x+1
Use the distributive property to multiply -2x-4 by 5x-1 and combine like terms.
-9x^{2}+4x+4-18x+4+25x^{2}-10x+1
Combine x^{2} and -10x^{2} to get -9x^{2}.
-9x^{2}-14x+4+4+25x^{2}-10x+1
Combine 4x and -18x to get -14x.
-9x^{2}-14x+8+25x^{2}-10x+1
Add 4 and 4 to get 8.
16x^{2}-14x+8-10x+1
Combine -9x^{2} and 25x^{2} to get 16x^{2}.
16x^{2}-24x+8+1
Combine -14x and -10x to get -24x.
16x^{2}-24x+9
Add 8 and 1 to get 9.
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}