Respuesta :

 (6q+7)(2q+3)
12q^2 + 18q + 14q + 21
12q^2 + 32q + 21

Answer:

[tex]\:\:\left(6q+7\right)\left(2q+3\right)=12q^2+32q+21[/tex]

Table is shown below

Step-by-step explanation:

Given expression  [tex]\:\:\left(6q+7\right)\left(2q+3\right)[/tex]

We have to find the product of given expression using table.

Consider the given expression [tex]\:\:\left(6q+7\right)\left(2q+3\right)[/tex]

We  have to find the product of given expression  [tex]\:\:\left(6q+7\right)\left(2q+3\right)[/tex]

Apply FOIL METHOD,

Multiply Each term in first bracket with each term in second bracket,

 [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

We have,

[tex]=6q\cdot \:2q+6q\cdot \:3+7\cdot \:2q+7\cdot \:3[/tex]

Simplify, we have,

[tex]=6\cdot \:2qq+6\cdot \:3q+7\cdot \:2q+7\cdot \:3[/tex]

Simplify, we have,

[tex]=12q^2+32q+21[/tex]

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