Evaluate
3x\left(\left(x-16\right)\left(x-6\right)\right)^{2}
Expand
3x^{5}-132x^{4}+2028x^{3}-12672x^{2}+27648x
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3x\left(x^{2}-12x+36\right)\left(x-16\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
3x\left(x^{2}-12x+36\right)\left(x^{2}-32x+256\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-16\right)^{2}.
\left(3x^{3}-36x^{2}+108x\right)\left(x^{2}-32x+256\right)
Use the distributive property to multiply 3x by x^{2}-12x+36.
3x^{5}-132x^{4}+2028x^{3}-12672x^{2}+27648x
Use the distributive property to multiply 3x^{3}-36x^{2}+108x by x^{2}-32x+256 and combine like terms.
3x\left(x^{2}-12x+36\right)\left(x-16\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
3x\left(x^{2}-12x+36\right)\left(x^{2}-32x+256\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-16\right)^{2}.
\left(3x^{3}-36x^{2}+108x\right)\left(x^{2}-32x+256\right)
Use the distributive property to multiply 3x by x^{2}-12x+36.
3x^{5}-132x^{4}+2028x^{3}-12672x^{2}+27648x
Use the distributive property to multiply 3x^{3}-36x^{2}+108x by x^{2}-32x+256 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}