Question

simplify the following expression.
(4x - 1)(2x - 2)
8x² - 10x + ?

Explanation:

Step1: Expand the product using distributive property (FOIL method)

Multiply each term in the first binomial by each term in the second binomial:
$$(4x - 1)(2x - 2) = 4x \cdot 2x + 4x \cdot (-2) - 1 \cdot 2x + (-1) \cdot (-2)$$

Step2: Simplify each term

• $4x \cdot 2x = 8x^2$
• $4x \cdot (-2) = -8x$
• $-1 \cdot 2x = -2x$
• $(-1) \cdot (-2) = 2$

Step3: Combine like terms

Combine the $x$ terms: $-8x - 2x = -10x$
So the expanded form is $8x^2 - 10x + 2$

Answer:

2