Question

Factorize the expression: 9x^4 + 12x^2y + 4y^2

Answer 1

(3x² + 2y)²

Explanation:

Given

9
`x^(4)` + 12x²y + 4y² ← a perfect square

9
`x^(4)` = (3x²)² and 4y² = (2y)²

of the form

9
`x^(4)` + 12x²y + 4y² = (3x² + 2y)(3x² + 2y) = (3x² + 2y)²