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Verified Answer :

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

Answer:

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

Table is shown below

Step-by-step explanation:

Given expression  \(\:\:\left(6q+7\right)\left(2q+3\right)\)

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

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

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

Apply FOIL METHOD,

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

 \(\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\)

We have,

\(=6q\cdot \:2q+6q\cdot \:3+7\cdot \:2q+7\cdot \:3\)

Simplify, we have,

\(=6\cdot \:2qq+6\cdot \:3q+7\cdot \:2q+7\cdot \:3\)

Simplify, we have,

\(=12q^2+32q+21\)

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