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Factoring Polynomials, please help.

Factoring Polynomials, please help.-example-1
User Mike Roll
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1 Answer

3 votes

Answer:

(x²)² + 2(9) + 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) + 9²

= (x² + 9)²

User Kampsj
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