Question

factorise the following expression 9m4-24m2n2+16n4-256​

Answer 1

Question:-

➡ Factorise the following expression.

Solution:-

9m⁴ + 24m²n² + 16n⁴ - 256

= (9m⁴ + 24m²n² + 16n⁴) - 256

= [(3m²)² + 2 × 3m² × 4n² + (4n²)²] - 256

= (3m² + 4n²)² - (16)²

= (3m² + 4n² + 16)(3m² + 4n² - 16)

Hence, the factorised form is (3m² + 4n² + 16)(3m² + 4n² - 16).

$\sf$

Identity Used:-

➡ (a² + 2ab + b²) = (a + b)²

➡ a² - b² = (a + b)(a - b)

Answer 2

Answer:

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