5. simplify: \n-\\frac{1}{5}(15x^{2}-35x + 20)\na. 3x^{2}-7x + 4\nb. 3x^{2}+7x - 4\nc. -3x^{2}+7x - 4\nd…

5. simplify: \n-\\frac{1}{5}(15x^{2}-35x + 20)\na. 3x^{2}-7x + 4\nb. 3x^{2}+7x - 4\nc. -3x^{2}+7x - 4\nd. -3x^{2}-7x + 4
Answer
Explanation:
Step1: Distribute the fraction
[-\frac{1}{5}(15x^{2}-35x + 20)=-\frac{1}{5}\times15x^{2}-\left(-\frac{1}{5}\right)\times35x-\frac{1}{5}\times20]
Step2: Simplify each term
[-\frac{1}{5}\times15x^{2}=-3x^{2}], (\left(-\frac{1}{5}\right)\times(- 35x)=7x), (-\frac{1}{5}\times20=-4)
Answer:
C. (-3x^{2}+7x - 4)