Question

Factor by any method: 8r^2-3rs 10s^2

Answer 1

The factored form of the expression 8r² - 3rs + 10s² is (8r - 3s)(r + 10s).

The Breakdown

We are factoring this expression 8r² - 3rs + 10s² using factoring by grouping method.

Focusing on the first two terms, 8r² and -3rs. We can factor out the greatest common factor, which is r:

r(8r - 3s)

Now, let us look at the last two terms, -3rs and 10s². We can factor out the greatest common factor, which is s:

r(8r - 3s) + s(10s)

Now, we have a common binomial factor, 8r - 3s. We can factor it out:

(8r - 3s)(r + 10s)

So, the factored form of the expression 8r² - 3rs + 10s² is (8r - 3s)(r + 10s).