Question

Q10 Simplify using suitable identities: (2m - 3n) ^ 2 + (2m + 3n) ^ 2​

Answer 1

Step-by-step explanation:

${(2m - 3n)}^{2} + {(2m + 3n)}^{2} \\ (4 {m}^{2} + 9 {n}^{2} - 12mn) + (4 {m}^{2} + 9 {n}^{2} + 12mn) \\ 4 {m}^{2} + 9 {n}^{2} - 12mn + 4 {m}^{2} + 9 {n}^{2} + 12mn \\ 8 {m}^{2} + 18 {n}^{2}$

Hope you get your answer

Answer 2

Answer:

(2m + 3n)² - (3m + 2n)²

= (2m + 3n + 3m + 2n) [ 2m + 3n - (3m + 2n)]

= (5m + 5n)(-m + n)

= -5(m + n)(m - n)

Step-by-step explanation:

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