Question

Factor the expression as the product of two binomials: 5kp-15kr-np+3mr

Answer 1

The expression 5kp-15kr-np+3mr is factored as the product of two binomials by grouping terms and factoring out common factors, resulting in (5k - n)(p - 3r).

Step-by-step explanation:

To factor the expression 5kp-15kr-np+3mr as the product of two binomials, we need to group terms and factor out common factors from each group. We can group the terms as follows: (5kp - 15kr) - (np - 3mr). In the first group, the common factor is 5k, and in the second group, the common factor is -n. Factoring these out, we have:

• 5k(p - 3r) - n(p - 3r)

Now we see that (p - 3r) is a common binomial factor, which we can factor out:

• (5k - n)(p - 3r)

So the expression 5kp-15kr-np+3mr factored as the product of two binomials is:

(5k - n)(p - 3r)