Answer:
(x²)² + 2(9)x² + 9²
(x² + 9)²
Explanation:
Given expression in the question is,
(x⁴ + 18x²+ 81)
We have to factorize this expression.
We know the formula of (a + b)² = a² + 2ab + b²
Comparing this formula with the given expression,
a = x²
b = 9²
By substituting these values in the given formula,
Therefore, (x⁴ + 18x²+ 81) = (x²)² + 2(9)x² + 9²
= (x² + 9)²