Evaluate
\left(3x^{2}-2\right)\left(\left(x-1\right)\left(x^{2}+x-1\right)\right)^{2}
Expand
3x^{8}-14x^{6}+6x^{5}+20x^{4}-16x^{3}-5x^{2}+8x-2
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\left(3x^{2}-2\right)\left(x^{6}-4x^{4}+2x^{3}+4x^{2}-4x+1\right)
Square x^{3}-2x+1.
3x^{8}-14x^{6}+6x^{5}+20x^{4}-16x^{3}-5x^{2}+8x-2
Use the distributive property to multiply 3x^{2}-2 by x^{6}-4x^{4}+2x^{3}+4x^{2}-4x+1 and combine like terms.
\left(3x^{2}-2\right)\left(x^{6}-4x^{4}+2x^{3}+4x^{2}-4x+1\right)
Square x^{3}-2x+1.
3x^{8}-14x^{6}+6x^{5}+20x^{4}-16x^{3}-5x^{2}+8x-2
Use the distributive property to multiply 3x^{2}-2 by x^{6}-4x^{4}+2x^{3}+4x^{2}-4x+1 and combine like terms.
Examples
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Integration
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Limits
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