Question

1. the expression is equivalent to ((5x - 3)(2x + 4))?

a. (10x^2 + 14x - 12)
b. (10x^2 - 14x - 12)
c. (10x^2 + 20x - 12)
d. (10x - 12)

Explanation:

Step1: Apply FOIL method

$(5x-3)(2x+4) = 5x\cdot2x + 5x\cdot4 -3\cdot2x -3\cdot4$

Step2: Calculate each term

$= 10x^2 + 20x -6x -12$

Step3: Combine like terms

$= 10x^2 + (20x-6x) -12 = 10x^2 +14x -12$

Answer:

a. $10x^2 + 14x - 12$