Question

Factorise the following expression completely:
36m²-48mn+16n²
Just tell me the solution
Answer should be:
4(3m-2n)²​

Answer 1

Answer:

$36 {m}^{2} - 48mn + 16 {n }^{2} \\ {6m}^{2} - 2 \times 6m \times 4n + {4n}^{2} \\ {(6m - 4n)}^{2}$

Answer 2

Step-by-step explanation:

You should use the formula of (a - b)² = a² - 2 (a × b) + b²

(6m - 4n)²

(6m)² - 2 (6m × 4n) + (4n)²

36m² - 2 (24mn) + 16n²

36m² - 48mn + 16n²

36m² - 48mn + 16n² = (6m - 4n)²

(6m - 4n)² = 2 (3m - 2n)²

2 (3m - 2n)²

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