How do you use the distributive property to rewrite it in factored form 2x-10x?

Mar 25, 2018

$2 x - 10 x = 2 x \left(1 - 5\right)$

$= 2 x \times \left(- 4\right)$

Explanation:

The distributive property takes a factor and multiplies it into a bracket.

$3 y \left(2 y - 5\right)$

$= 6 {y}^{2} - 15 y$

If you use the distributive property to factorise, the common factor is divided out of the bracket.

$2 x - 10 x = 2 x \left(1 - 5\right)$

$= 2 x \times \left(- 4\right)$

Note that they are like terms, so they would usually just be added to give $- 8 x$