Mathematics

Mathematics

Problem

Find the simplified form of −3x(4x2−5x+2)-3x(4x^{2}-5x+2). a) −12x3−15x2+6x-12x^{3}-15x^{2}+6x b) 12x3−15x2+6x12x^{3}-15x^{2}+6x c) −12x3+15x2−6x-12x^{3}+15x^{2}-6x d) −12x3+15x2−6-12x^{3}+15x^{2}-6
Intuitive explanation

This is about distributive property with a negative coefficient. The key is to multiply −3x-3x by each term inside the parentheses separately, being careful with signs—especially that negative out front. Once you've distributed, combine any like terms to get your final simplified answer.

Intuitive explanation

This is about distributive property with a negative coefficient. The key is to multiply −3x-3x by each term inside the parentheses separately, being careful with signs—especially that negative out front. Once you've distributed, combine any like terms to get your final simplified answer.

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