2. Multiply.

(3x + 2) (5x^2 - 2x + 6)

The answer is 15x³ + 4x² + 14x + 12

(3x + 2) (5x^2 - 2x + 6)

We can distribute. Just like how A (x + y + z) = Ax + Ay + Az, we can distribute (3x + 2) into (5x^2 - 2x + 6), and then distribute again.

(3x + 2) (5x^2 - 2x + 6)

= 5x^2 (3x + 2) - 2x (3x + 2) + 6 (3x + 2)

= 15x³ + 10x² - 6x² - 4x + 18x + 12

= 15x³ + 4x² + 14x + 12 (combine like terms)

15x^3+4x^2+14x+12

Multiply 3x by every value in the second bracket. Then multiply 2 by every value in the second bracket. Add like terms. (Only answers with the same square are like terms.)