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10 votes
10 votes
Factor 2x2c2 + 3xc2 − 35c2. Show your work.

User Dietpixel
by
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2 Answers

18 votes
18 votes


\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2

  • Take c^2 common


\\ \sf\longmapsto c^2(2x^2+3x-35)

  • Factor the brackets


\\ \sf\longmapsto c^2(2x^2+10x-7x-35)


\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))


\\ \sf\longmapsto c^2(2x-7)(x+5)

User Biggles
by
2.2k points
18 votes
18 votes

Answer:

  • c²(x + 5)(2x - 7)

Explanation:

  • 2x²c² + 3xc² - 35c² =
  • c²(2x² + 3x - 35) =
  • c²(2x² + 10x - 7x - 35) =
  • c²(2x(x + 5) - 7(x + 5)) =
  • c²(x + 5)(2x - 7)
User Sangram Anand
by
2.9k points