Question

We want to factor the following expression:

x² + 3x²y +9y²
Which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions

Answer 1

To factor the expression x² + 3x²y +9y², we can use the pattern of perfect square trinomials. In this case, we can factor the expression as (x + 3y)².

Step-by-step explanation:

To factor the expression x² + 3x²y +9y², we can use the pattern of perfect square trinomials. A perfect square trinomial is in the form of (ax + b)². To apply this pattern, we need to identify the perfect square terms in the given expression. In this case, x² and 9y² are perfect squares.

We can rewrite the given expression as x² + 2(xy) + (3y)². Now, we can see that the expression matches the pattern (a + b)², where a = x and b = 3y. Thus, we can factor the expression as (x + 3y)².

Learn more about Factoring perfect square trinomials