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Pepsi [2]
1 year ago
5

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

Mathematics
1 answer:
Alex_Xolod [135]1 year ago
7 0

Answer:

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

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.

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

___________________

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

___________________

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

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