Evaluate
\left(\left(3x-2\right)\left(4x-5\right)\right)^{2}
Expand
144x^{4}-552x^{3}+769x^{2}-460x+100
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\left(9x^{2}-12x+4\right)\left(4x-5\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2\right)^{2}.
\left(9x^{2}-12x+4\right)\left(16x^{2}-40x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4x-5\right)^{2}.
144x^{4}-552x^{3}+769x^{2}-460x+100
Use the distributive property to multiply 9x^{2}-12x+4 by 16x^{2}-40x+25 and combine like terms.
\left(9x^{2}-12x+4\right)\left(4x-5\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2\right)^{2}.
\left(9x^{2}-12x+4\right)\left(16x^{2}-40x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4x-5\right)^{2}.
144x^{4}-552x^{3}+769x^{2}-460x+100
Use the distributive property to multiply 9x^{2}-12x+4 by 16x^{2}-40x+25 and combine like terms.
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
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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}