Question

Factor the following expression completely:x^2+9xy+8y^2 please I need to do all my exercise by midnight help me!!!!

Answer 1

OK, so there is an x^2. This shows the first term of the both factor expressions is \(x\).
$$(x + by)(x + ay)$$
This is what we have so far. Now, we ask what two terms can we add to get 9xy and also multiply to get 8y^2? Well, we are essentially solving the linear system:
$$(a + b)xy = 9xy \\ bay^2 = 8y^2$$
The obvious answers to this is a = 1 and b = 8. Thus:
$$(x + y)(x + 8y)$$

Answer 2

thank you you really know how to explain and how to do this math stuffs....