Math, asked by amulyakati, 2 months ago

Expand: (3a + 2b)(a-5b)(2a+b)

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Answers

Answered by honey77777777
7

Step-by-step explanation:

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Attachments:
Answered by vpvp197
10

 \huge{ \bf{ \underline{ \underline{question}}}}

(3a + 2b)(a - 5b)(2a + b)

 \huge{ \bf{ \underline{ \underline{expand}}}} \:  \\ \implies \: 6 {a}^{3}  - 23 {a}^{2} b \:  - 33a {b}^{2}  - 10 {b}^{2}

  \huge{ \bf{ \underline{ \underbrace{explanation}}}} \\  \implies \: (3a + 2b)(a -  5b)(2a + b)

Apply the distributive law;

(a +b)(x + y + z) \\  = ax + ay + az + bx + by + bz

(3 {a}^{2}  - 13ab - 10 {b}^{2} )(2a + b) \\  \implies \: 3 {a}^{2} (2a  + 3 {a}^{2}  - 13ab) \\  \implies \: (2a - 13abb - 10 {b}^{2} ) \\  \implies \: (2a - 10 {b}^{2} b)

Simplify;

3 {a}^{2} (2a + 3a {}^{2} b - 13ab) \\  \implies \: 6 {a}^{3}  - 23 {a}^{2} b - 33a {b}^{2}  - 10 {b}^{3}

 \huge{ \bf{ \green{ \underline{ \underbrace{hence \: verified}}}}}

6 {a}^{3}  - 23 {a}^{2} b - 33 {ab}^{2}  - 10 {b}^{3}

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