Question

Find the product:

(3x – 2y) (9x² + 6xy + 4y²)

Answer 1

Given expression: (3x – 2y)(9x² + 6xy + 4y²)

Step-wise calculation:

Multiply each term in the first bracket by each term in the second bracket:

3x × 9x² = 27x³

3x × 6xy = 18x²y

3x × 4y² = 12xy²

–2y × 9x² = –18x²y

–2y × 6xy = –12xy²

–2y × 4y² = –8y³

Now, add these terms together:

27x³ + 18x²y + 12xy² – 18x²y – 12xy² – 8y³

Combine like terms:

27x³ + (18x²y – 18x²y) + (12xy² – 12xy²) – 8y³

Simplifies to:

27x³ – 8y³