Question

Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.

Answer 1

Answer:

$12x + 24 = 2(6x + 12)$

$12x + 24 = 3(4x + 8)$

$12x + 24 = 4(3x + 6)$

$12x + 24 = 6(2x + 4)$

$12x + 24 = 12(x + 2)$

Step-by-step explanation:

Given

$12x + 24$

Required

Equivalent expressions

No option were given; So, I will list out some possible equivalent expressions.

Using distributive property:

$AB + AC = A*(B + C)$

So, we have:

$12x + 24 = 2*6x + 2 * 12$

$12x + 24 = 2(6x + 12)$ ----- (1)

Another:

$12x + 24 = 3*4x + 3 * 8$

$12x + 24 = 3(4x + 8)$

Another:

$12x + 24 = 4*3x + 4*6$

$12x + 24 = 4(3x + 6)$

Another:

$12x + 24 = 6*2x + 6*4$

$12x + 24 = 6(2x + 4)$

Another:

$12x + 24 = 12*x + 12*2$

$12x + 24 = 12(x + 2)$