Question

Factorize (2+3a)2 - (4-5a)2

Answer 1

Refer to the attached file.

Please mark this answer as the brainliest.

Answer 2

${(2 + 3a)}^{2} - {(4 - 5a)}^{2} \\ \\ = > (4 + 9 {a}^{2} + 12a) - (16 + 25 {a}^{2} - 40a) \\ \\ = > 9 {a}^{2} - 25 {a}^{2} + 12a + 40a + 4 - 16 \\ \\ = > - 16 {a}^{2} + 52a - 12 \\ \\ = > - 16 {a}^{2} - 48a - 4a - 12 \\ \\ = > - 16a(a + 3) - 4(a + 3) \\ \\ = > ( - 16a - 4)(a + 3) \\ \\ = > - 4(4a + 1)(a + 3)$

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