(2x^2-4xy+2y)(3x-4)
help solve! please show steps.

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Answer:
S
Step-by-step explanation:
The distributive property is used for this purpose. I find it easier to distribute the shorter factor.
[tex](2x^2-4xy+2y^2)(3x-4)\\\\=(3x)(2x^2-4xy+2y^2)-(4)(2x^2-4xy+2y^2)\\\\=6x^3-12x^2y+6xy^2-8x^2+16xy-8y^2\quad\text{matches choice S)}[/tex]