Factorise a3+b3+3ab+1
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Step-by-step explanation:
We factorize the given expression a³ −b³+1+3ab as shown below:
a³ −b³+1+3ab =a³ +(−b) ³ +1³ +3(a×−b×1) =(a+(−b)+1)(a ²+(−b)² +1 −a(−b)−(−b)(1)−1(a))
(∵ x³+y³ +z³ +3abc=(x+y+z)(x²+y² +z² −xy−yz−zx))=(a−b+1)(a ²+b ² +1+ab+b−a)
Hence, a ³ −b ³ +1+3ab=(a−b+1) (a ²+b² +ab−a+b+1)
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Step-by-step explanation:
Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities.
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