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$3 \exponential{x}{2} (-2 \exponential{x}{4} - 2 \exponential{x}{3} + \exponential{x}{2} - 4 x + 7) $
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-6x^{6}-6x^{5}+3x^{4}-12x^{3}+21x^{2}
Use the distributive property to multiply 3x^{2} by -2x^{4}-2x^{3}+x^{2}-4x+7.
-6x^{6}-6x^{5}+3x^{4}-12x^{3}+21x^{2}
Use the distributive property to multiply 3x^{2} by -2x^{4}-2x^{3}+x^{2}-4x+7.