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\left(-8x^{5}+12x^{4}+24x^{3}\right)x^{2}
Use the distributive property to multiply -2x^{5}+3x^{4}+6x^{3} by 4.
-8x^{7}+12x^{6}+24x^{5}
Use the distributive property to multiply -8x^{5}+12x^{4}+24x^{3} by x^{2}.
\left(-8x^{5}+12x^{4}+24x^{3}\right)x^{2}
Use the distributive property to multiply -2x^{5}+3x^{4}+6x^{3} by 4.
-8x^{7}+12x^{6}+24x^{5}
Use the distributive property to multiply -8x^{5}+12x^{4}+24x^{3} by x^{2}.