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Tatiana is buying b number of books and m number of magazines at the book fair. The books cost $4 each and the magazines cost $2 each. Tatiana's total purchase can be shown with this expression: 4b+2m. Which

expression is equivalent to 4b+2m

Respuesta :

MrRoyal

Answer:

[tex]4b + 2m = 2(2b + m)[/tex]

Step-by-step explanation:

Given

[tex]4b + 2m[/tex]

Required

Write an equivalent expression

To do this, we simply write [tex]4b + 2m[/tex] as a product of two factors.

Express 4b as 2 * 2b

[tex]4b + 2m = 2 * 2b + 2m[/tex]

Express 2m as 2 * m

[tex]4b + 2m = 2 * 2b + 2 * m[/tex]

Factor 2 out of the expression:

[tex]4b + 2m = 2 *(2b + m)[/tex]

[tex]4b + 2m = 2(2b + m)[/tex]

Hence:

An equivalent expression is: [tex]2(2b + m)[/tex]

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