what is the product?\n(3x - 6)(2x^{2}-7x + 1)\n-12x^{2}+42x - 6\n-12x^{2}+21x + 6\n6x^{3}-33x^{2}+45x…
what is the product?\n(3x - 6)(2x^{2}-7x + 1)\n-12x^{2}+42x - 6\n-12x^{2}+21x + 6\n6x^{3}-33x^{2}+45x - 6\n6x^{3}-27x^{2}-39x + 6
Answer
Explanation:
Step1: Use distributive property
$(3x - 6)(2x^{2}-7x + 1)=3x(2x^{2}-7x + 1)-6(2x^{2}-7x + 1)$
Step2: Multiply 3x by each term
$3x(2x^{2}-7x + 1)=3x\times2x^{2}-3x\times7x+3x\times1 = 6x^{3}-21x^{2}+3x$
Step3: Multiply -6 by each term
$-6(2x^{2}-7x + 1)=-6\times2x^{2}+6\times7x-6\times1=-12x^{2}+42x - 6$
Step4: Combine like - terms
$(6x^{3}-21x^{2}+3x)+(-12x^{2}+42x - 6)=6x^{3}+(-21x^{2}-12x^{2})+(3x + 42x)-6=6x^{3}-33x^{2}+45x - 6$
Answer:
C. $6x^{3}-33x^{2}+45x - 6$