Question

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

Answer 1

`\\ \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)`

Answer 2

• 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)