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

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

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MrRoyal MrRoyal · Answer 1 · 2025-03-31T23:54:54-04:00

Answer:

[tex]12x + 24 = 2(6x + 12)[/tex]

[tex]12x + 24 = 3(4x + 8)[/tex]

[tex]12x + 24 = 4(3x + 6)[/tex]

[tex]12x + 24 = 6(2x + 4)[/tex]

[tex]12x + 24 = 12(x + 2)[/tex]

Step-by-step explanation:

Given

[tex]12x + 24[/tex]

Required

Equivalent expressions

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

Using distributive property:

[tex]AB + AC = A*(B + C)[/tex]

So, we have:

[tex]12x + 24 = 2*6x + 2 * 12[/tex]

[tex]12x + 24 = 2(6x + 12)[/tex] ----- (1)

Another:

[tex]12x + 24 = 3*4x + 3 * 8[/tex]

[tex]12x + 24 = 3(4x + 8)[/tex]

Another:

[tex]12x + 24 = 4*3x + 4*6[/tex]

[tex]12x + 24 = 4(3x + 6)[/tex]

Another:

[tex]12x + 24 = 6*2x + 6*4[/tex]

[tex]12x + 24 = 6(2x + 4)[/tex]

Another:

[tex]12x + 24 = 12*x + 12*2[/tex]

[tex]12x + 24 = 12(x + 2)[/tex]