Simplify and also verify the result for the given values;3.(4a2-6ab+9b2) (2a + 3b); a=2,b=1
(4a2 - 6ab + 9b2) (2a + 3b)
= 2a (4a2 - 6ab + 9b2) + 3b (4a2 - 6ab + 9b2)
= 8a3 - 12a2b + 18ab2 + 12a2b - 18ab2 + 27b3
=8a3 + 27b3
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= 8a3 + 27b3
= 8×2×2×2 + 27×1×1×1
= 64 + 27
= 91
LHS = RHS
VERIFIED
= 2a (4a2 - 6ab + 9b2) + 3b (4a2 - 6ab + 9b2)
= 8a3 - 12a2b + 18ab2 + 12a2b - 18ab2 + 27b3
=8a3 + 27b3
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= 8a3 + 27b3
= 8×2×2×2 + 27×1×1×1
= 64 + 27
= 91
LHS = RHS
VERIFIED