Question

Find the product:

(3x + y) (9x² – 3xy + y²)

Answer 1

Given: (3x + y)(9x² – 3xy + y²)

Step-wise calculation:

We use the distributive property to multiply each term in the first bracket by each term in the second bracket:

= (3x)(9x²) + (3x)(–3xy) + (3x)(y²) + (y)(9x²) + (y)(–3xy) + (y)(y²)

Calculate each term:

= 27x³ – 9x²y + 3xy² + 9x²y – 3xy² + y³

Combine like terms:

27x³ + (–9x²y + 9x²y) + (3xy² – 3xy²) + y³ 

= 27x³ + 0 + 0 + y³

So the product is 27x³ + y³.