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Lina20 [59]
3 years ago
15

2a+ 3b + 4a^2 - 9b^2​

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

Answer:

  • \bf\pink{(2a+3b)\times (1+2a-3b)}

Step-by-step explanation:

<h2><u>Given Expression</u> :-</h2>

  • \sf\orange{2a+ 3b + 4a^2 - 9b^2}

<h2><u>Steps to factorise</u> :-</h2>

\hookrightarrow\:\:\:\sf\purple{2a+ 3b + 4a^2 - 9b^2}

  • Using a²-b² = (a-b)(a+b), factor the expression

\hookrightarrow\:\:\:\sf\red{2a+3b+(2a-3b)\times (2a + 3b)}

  • Factor out 2a+3b from the expression

\hookrightarrow\:\:\:{\boxed{\sf{\pink{(2a+3b)\times (1+2a-3b)}}}}

\mathfrak\blue{Hope\:It\:Helps\:!!!}

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