Question

Please give step by step explanation
(2x + 3)(3x - 5)

Answer 1

6x² - x - 15

Step-by-step explanation:

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

• Apply FOIL Method: (a + b) (c + d) = ac + ad + bc + bd

• a = 2x, b = 3, c = 3x, d = -5

= 2x · 3x + 2x (-5) + 3 · 3x + 3 (-5)

• Apply Minus - Plus Rules

+ (-a) = -a

= 2 · 3xx - 2 · 5x + 3 · 3x - 3 · 5

• Simplify

6x² - x - 15

- PNW

Answer 2

6x^2-x-15

Step-by-step explanation:

Distribute

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

Distribute

6x^2-10x +3(3x-5)

6x^2-10x +9x-15

Combine Like Terms

6x^2-x-15