Question

(m+2n)^2-(2m+n)^2 solve this question​

Answer 1

(m+2n)²-(2m+n)²

= (m+2n+2m+n)(m+2n-2m-n)

= (3m+3n)(-m+n)

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Answer 2

$\color {red} </p><p>\Large \underline {\underline {Question \: :}}$

Solve this question :

${(m + 2n)}^{2} - {(2m + n)}^{2}$

$\color {red} </p><p>\Large \underline {\underline {Using \: Identity \: :}}$

${a}^{2} - {b}^{2} = (a - b)(a + b)$

$\color {red} </p><p></p><p>\Large \underline {\underline {Solution \: :}}$

(m + 2n)² - (2m + n)²

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

[m + 2n - 2m - n] [m + 2n + 2m + n]

[-m + n] [3m + 3n]

[-m + n] × 3 [m + n]

= 3 [-m + n] [m + n]

$\implies$ Hence, the answer is 3 (-m + n) (m + n)

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