Respuesta :

gmany

Answer:

3(3b + 7)

Step-by-step explanation:

[tex]9b+21=(3)(3b)+(3)(21)=(3)(3b+7)\\\\\text{used the distributive property:}\ a(b+c)=ab+ac[/tex]

Expressions can be split into equivalent expressions by factoring them.

The expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]

The expression is given as:

[tex]\mathbf{9b + 21}[/tex]

Express each term as a product of 3 (the GCF)

[tex]\mathbf{9b + 21 = 3 \times 3b + 3 \times 7}[/tex]

Factor out 3

[tex]\mathbf{9b + 21 = 3 (3b + 7)}[/tex]

Hence, the expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/15715866

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