Simplify and also verify the result for the given values;3.(4a2-6ab+9b2) (2a + 3b); a=2,b=1

(4a2 - 6ab + 9b​2) (2a + 3b)
= 2a (4a​2 - 6ab + 9b​2) + 3b (4a2 - 6ab + 9b2)
= 8a3 - 12a2b  + 18ab​2 + 12a​2b - 18ab​2 + 27b3
=8a3 + 27b​3


LHS=   a=2 ,b=1
= (4×2×2 - 6×2×1 + 9×1×1) (2×2 + 3×1)
= (16 -12 + 9) (4 + 3)
= 13 ​× 7
= 91

RHS=   8a+ 27b3
= 8×2×2×2 + 27×1×1×1
= 64 + 27
= 91

   LHS = RHS 
    VERIFIED







 

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