Evaluate
\left(9x^{2}-1\right)^{2}
Expand
81x^{4}-18x^{2}+1
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\left(9x^{2}-6x+1\right)\left(3x+1\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-1\right)^{2}.
\left(9x^{2}-6x+1\right)\left(9x^{2}+6x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+1\right)^{2}.
81x^{4}-18x^{2}+1
Use the distributive property to multiply 9x^{2}-6x+1 by 9x^{2}+6x+1 and combine like terms.
\left(9x^{2}-6x+1\right)\left(3x+1\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-1\right)^{2}.
\left(9x^{2}-6x+1\right)\left(9x^{2}+6x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+1\right)^{2}.
81x^{4}-18x^{2}+1
Use the distributive property to multiply 9x^{2}-6x+1 by 9x^{2}+6x+1 and combine like terms.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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