Math, asked by ripsaha1234, 10 months ago

factorise a^2+12a+27​

Answers

Answered by sonisiddharth751
16

Answer:

 <font color = "red">

 {a}^{2}  + 12a + 27 \\  \\  ⇒{a}^{2}  + (9 + 3)a + 27 \\  \\⇒  {a}^{2}  + 9a + 3a + 27 \\  \\ ⇒a(a + 9) + 3( a+ 9) \\  \\⇒ ( a+ 9)( a+ 3)

Answered by Anonymous
19

\huge\red{Answer}

Given :

• A quadratic equation a² + 12a + 27

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We have to split the middle term in two parts such that its product is equal to 27

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a² + 12a + 27

= = > a² + 9a + 3a + 27

= = > a ( a + 9 ) + 3 ( a + 9 )

= = > ( a + 3 ) ( a + 9 )

= = > a = -3 , -9

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