Question

1. Factorize the following:
(ii)a^2 + 6ab + 9b^2​

Answer 1

Answer:

From the formula (a+b)^3 = a^2+2ab+b^2,

a^2 + 6ab + 9b^2

=a^2+2×a×3b+(3b)^2

=(a+3b)^2

=(a+3b)(a+3b)

Step-by-step explanation:

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Answer 2

Answer:

(a+3b)²

Step-by-step explanation:

a² + 6ab+ 9b²

=a² +6ab+ (3b)²

=(a)² + 2×a×3b + (b)²

[a²+2ab+b² = (a+b)² ]

=(a + 3b)²