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4. which expression is the first step in multiplying $(2x + 5)(x - 2)$ …

Question

  1. which expression is the first step in multiplying $(2x + 5)(x - 2)$ using the distributive method?$\bigcirc$ $2x(5)LXB0\bigcirc$ $2(5)$$\bigcirc$ $(2x)(x - 2)$

Explanation:

Step1: Recall distributive property

For $(a+b)(c-d)$, first distribute $a(c-d)+b(c-d)$.
For $(2x+5)(x-2)$, this means $2x(x-2) + 5(x-2)$.

Step2: Identify first term

The first step is the first part of this expansion: $2x(x-2)$.

Answer:

$\boldsymbol{(2x)(x - 2)}$ (the fourth option)