Question

In the following exercises, multiply the binomials. Use any method.
255. (a + b)(2a + 3b)

Answer 1

Hence the expression
`$$(a+b)(2a+3b)=2a^2+5ab+3b^2$$`

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.

`$$\begin{matrix}{} & {} & {} & {} & a & + & b \\ * & {} & {} & {} & 2a & + & 3b \\ \end{matrix}$$`

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`$$\begin{matrix}{} & {} & {} & {} & 3ab & + & 3{{b}^2} \\ {} & {} & 2{{a}^2} & + & 2ab & {} & {} \\ \end{matrix}$$`

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`$$\begin{matrix}{} & {} & 2{{a}^2} & + & 5ab & + & 3{{b}^2} \\ \end{matrix}$$`