Question

25 a square minus 9 b square plus 12 bc minus 4 c square factorise

Answer 1

Answer:

(5a+3b-2c)(5a-3b+2c)

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Step-by-step explanation:

$25 {a}^{2} - 9 {b}^{2} + 12bc - 4 {c}^{2} \\ = {(5a)}^{2} - (9 {b}^{2} + 4 {c}^{2} - 12bc) \\ = {(5a)}^{2} - { (3b - 2c)} ^{2} \\ = (5a + 3b - 2c)(5a - 3b + 2c)$