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Question Number 121889 by oustmuchiya@gmail.com last updated on 12/Nov/20

	Answered by Dwaipayan Shikari last updated on 12/Nov/20

	${(1 + a x)}^{b} = 1 + 48 x + 1008 x^{2} + . . .$ $a b = 48$ $a^{2} \frac{b (b - 1)}{2} = 1008$ $\frac{a (b - 1)}{2} = 21 \Rightarrow a = 6, b = 8$
	Answered by TANMAY PANACEA last updated on 12/Nov/20
	$(1+2x+3x^2 )(1+2x)^7 (1+2x+3x^2 ){1+7C_1 (2x)+7C_2 (2x)^2 +7C_3 (2x)^3 +othdr terms} =1×7C_3 (2x)^3 +2x×7C_2 (2x)^2 +3x^2 ×7C_1 (2x) =x^3 (7C_3 ×2^3 +2×7C_2 ×2^2 +3×7C_1 ×2) pls calculate$
	$(1 + 2 x + 3 x^{2}) {(1 + 2 x)}^{7}$ $(1 + 2 x + 3 x^{2}) {1 + 7 C_{1} (2 x) + 7 C_{2} {(2 x)}^{2} + 7 C_{3} {(2 x)}^{3} + o t h d r t e r m s}$ $= 1 \times 7 C_{3} {(2 x)}^{3} + 2 x \times 7 C_{2} {(2 x)}^{2} + 3 x^{2} \times 7 C_{1} (2 x)$ $= x^{3} (7 C_{3} \times 2^{3} + 2 \times 7 C_{2} \times 2^{2} + 3 \times 7 C_{1} \times 2)$ $p l s c a l c u l a t e$
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