Respuesta :

Answer:

Hence the expression [tex]$(a+b)(2a+3b)=2a^2+5ab+3b^2$[/tex]

Step-by-step explanation:

Explanation

  • The given expression is (a + b)(2a+3 b).
  • We have to multiply the given expression.
  • Multiply the (a + b) by 3b, multiply the (a + b) by 2a then add like terms.

[tex]$\begin{matrix}{} & {} & {} & {} & a & + & b \\ \times & {} & {} & {} & 2a & + & 3b \\ \end{matrix}$[/tex]

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[tex]$\begin{matrix}{} & {} & {} & {} & 3ab & + & 3{{b}^2} \\ {} & {} & 2{{a}^2} & + & 2ab & {} & {} \\ \end{matrix}$[/tex]

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[tex]$\begin{matrix}{} & {} & 2{{a}^2} & + & 5ab & + & 3{{b}^2} \\ \end{matrix}$[/tex]

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