Question

18. Which correctly applies the distributive property?

O2(2+3) = 6 – 2
O2(x + 3) = 2x+6
O2(x + 3) = 6x
O2(2 + 3) = 2r/3​

Answer 1

b) 2(x + 3) = 2x + 6

Explanation:

The formula we refer to is,

→ a × (b + c) = (a × b) + (a × c)

The option obeys distributive law is,

→ 2 × (x + 3) = (2 × x) + (2 × 3)

→ 2(x + 3) = 2x + 6

Hence, option (b) is correct.

Answer 2

• Option B

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The distributive property is:

• a(b + c) = ab + ac

Apply this to the options:

• A) 2(2 + 3) = 2*2 + 2*3 = 4 + 6, not matching, no;

• B) 2(x + 3) = 2x + 2*3 = 2x + 6, matching, yes;

• C) 2(x + 3) = 2x + 6, as above, not matching, no;

• D) 2(2 + 3) = 4 + 6, not matching, no.