Question

Expand: (3a + 2b)(a² + ab + 5)
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Answer 1

Answer:

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Step-by-step explanation:

3a(a²+ ab + 5 ) +2b (a²+ ab + 5)

3a³ + 3a²b + 15a + 2a²b + 2ab² + 10b

3a³ +5a²b + 15a + 2ab² + 10b

Answer 2

Given:

(3a + 2b)(a² + ab + 5)

To Find:

Expansion of the given equation.

Solution:

⇒(3a + 2b)(a² + ab + 5) = 3a×(a² + ab + 5)+2b×(a² + ab + 5)

 ⇒(3a + 2b)(a² + ab + 5) = (3a×a²+3a×ab+3a×5)+(2b×a²+2b×ab+2b×5)

  ⇒(3a + 2b)(a² + ab + 5) = (3a³+3a²b+15a)+(2a²b+2ab²+10b)

  ⇒(3a + 2b)(a² + ab + 5) = 3a³+5a²b+2ab²+15a+10b

Hence, the expansion of  (3a + 2b)(a² + ab + 5) is                                                    

(3a³+5a²b+2ab²+15a+10b).