Question

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Q. Factorise :

9m³n³-36mn²


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Answer 1

Answer:

$9 {m}^{3} {n}^{3} - 36m {n}^{2} \\ \\ = 9m {n}^{2} ( {m}^{2} n - 4) \\ \\ = 9m {n}^{2} ((m. \sqrt{n} ) ^{2} - (2) ^{2} ) \\ \\ = 9mn ^{2} (m \sqrt{n} + 2)(m \sqrt{n} - 2) \\ \\ \\ using \: \: \: formula \: \: \: \: \: (x + y)(x - y) = {x}^{2} - {y}^{2} \\ \\ (\sqrt{x} ) {}^{2} = x$

Answer 2

Step-by-step explanation:

9m³n³-36mn²

mn²(9m²-36)

mn²{(3m)²-(6)²}

mn²{(3m+6)(3m-6)}

(mn²)(3m+6)(3m-6)

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