factorise 27 a cube + 36 a square + 12 ab square
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Answer:
3a(3a + 2b)(3a + 2b)
Step-by-step explanation:
27a³ + 36a² + 12ab²
= 3a(9a² + 12a + 4b²)
= 3a{(3a)² + 2.3a.2b + (2b)²}
= 3a(3a + 2b)²
= 3a(3a + 2b)(3a + 2b)
Ans:- 3a(3a + 2b)(3a + 2b)
Note:- I split the (3a + 2b)² tp (3a + 2b)(3a + 2b) as it is told to factorise i.e. to show the factors. You may keep it in whole square form. It will be the same. Thank You.
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