Question

(2a + 3b)2 - 16c2
please correct answer​

Answer 1

Answer:

(2a+3b+4c)(2a+3b-4c)

Step-by-step explanation:

(2a+3b)^2-16c^2 = (2a+3b)^2-(4c)^2

= (2a+3b+4c)(2a+3b-4c)

Answer 2

Answer:

$\large{ \bold{(2a + 3b + 4c)(2a + 3b - 4c)}}$

Step-by-step explanation:

${(2a + 3b)}^{2} - 16 {c}^{2} \\ \\ = {(2a + 3b)}^{2} - {(4c)}^{2} \\ \\ = 4 {a}^{2} + 9 {b}^{2} + 12ab - 16 {c}^{2} \\ \\ = 4 {a}^{2} + 6ab + 8ac + 6ab + 9 {b}^{2} + 12bc - 8ac - 12bc - 16 {c}^{2} \\ \\ =2a (2a + 3b + 4c) + 3b(2a + 3b + 4c) - 4c(2a + 3b + 4c) \\ \\ = (2a + 3b + 4c)(2a + 3b - 4c) \\ \\ \\ \\ also \\ \\ formulae \\ \\ {x}^{2} - {y}^{2} = (x + y)(x - y)$

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