*Factor by grouping!!
10x2 + 2xy + 15x + 3y
Do the same thing we've been doing:
2x(5x+y) + 3y(5x+y)
(2x+3y)(5x+y)
thanks...
You're welcome! I'm happy to help. Let's go through the steps of factoring by grouping to solve the equation 10x^2 + 2xy + 15x + 3y.
Step 1: Look for pairs of terms that share a common factor. In this case, we can group the first two terms, 10x^2 and 2xy, and the last two terms, 15x and 3y.
Step 2: Factor out the greatest common factor from each group. For the first group, the greatest common factor is 2x, so we can rewrite the first two terms as 2x(5x + y). For the second group, the greatest common factor is 3y, so we have 3y(5x + y).
Step 3: Now that we have the groups factored, we can see that both groups have a common factor, which is (5x + y).
Step 4: Put the common factor outside of parentheses and write the rest of the factored form inside the parentheses. So the factored form of the equation 10x^2 + 2xy + 15x + 3y is:
(2x + 3y)(5x + y).
And that's how we factor by grouping! Let me know if you have any other questions.