(3x-4y^2)(3x+4y^2)

less than a minute read Jun 16, 2024

Multiplying Binomials: (3x - 4y²) (3x + 4y²)

This expression represents the product of two binomials, specifically (3x - 4y²) and (3x + 4y²). To simplify this, we'll use the difference of squares pattern.

Difference of Squares

The difference of squares pattern is a fundamental algebraic identity that states:

(a - b) (a + b) = a² - b²

Applying the Pattern

In our expression:

a = 3x
b = 4y²

Therefore, using the difference of squares pattern:

(3x - 4y²) (3x + 4y²) = (3x)² - (4y²)²

Simplifying the Expression

Now, we simplify by squaring each term:

(3x)² - (4y²)² = 9x² - 16y⁴

Final Result

The simplified form of the expression (3x - 4y²) (3x + 4y²) is 9x² - 16y⁴.