simplify: (3x - 4)(2x² - 3x + 5)\na 6x³ - 17x² + 27x - 20\nb 6x³ - x² + 3x - 20\nc 6x³ - 9x² + 12x - 20\nd…
simplify: (3x - 4)(2x² - 3x + 5)\na 6x³ - 17x² + 27x - 20\nb 6x³ - x² + 3x - 20\nc 6x³ - 9x² + 12x - 20\nd 6x³ - 17x² + 3x - 20
Answer
Explanation:
Step1: Use distributive property
$(3x - 4)(2x^{2}-3x + 5)=3x(2x^{2}-3x + 5)-4(2x^{2}-3x + 5)$
Step2: Distribute 3x
$3x(2x^{2}-3x + 5)=3x\times2x^{2}-3x\times3x + 3x\times5=6x^{3}-9x^{2}+15x$
Step3: Distribute - 4
$-4(2x^{2}-3x + 5)=-4\times2x^{2}+(-4)\times(-3x)+(-4)\times5=-8x^{2}+12x - 20$
Step4: Combine like - terms
$(6x^{3}-9x^{2}+15x)+(-8x^{2}+12x - 20)=6x^{3}+(-9x^{2}-8x^{2})+(15x + 12x)-20=6x^{3}-17x^{2}+27x - 20$
Answer:
A. $6x^{3}-17x^{2}+27x - 20$