Factor by Grouping $$ 6 x^{2}-15 x-10 x+25 $$

Question

UpStudy AI · Accepted Answer

Step 1: Group the terms.
Rewrite 6x² - 15x - 10x + 25 as grouped terms:
  (6x² - 15x) + (-10x + 25)

Step 2: Factor each group.
In the first group, factor out 3x:
  3x(2x - 5)

In the second group, factor out -5:
  -5(2x - 5)

Step 3: Factor out the common binomial.
Since both groups have a common factor (2x - 5), factor it out:
  (2x - 5)(3x - 5)

Thus, the factored form is (2x - 5)(3x - 5).
The factored form is $$ (2x - 5)(3x - 5) $$.

Factor by Grouping \( 6 x^{2}-15 x-10 x+25 \)