Question

x^2 - m^2 + 6mn - 9n^2 factorize it​

Answer 1

Answer:

$\large\bold\red{(x + m - n)(x - m + n)}$

Step-by-step explanation:

Given,

${x}^{2} - {m}^{2} + 6mn - 9 {n}^{2}$

Further simplifying,

we get,

$= {x}^{2} - ( {m}^{2} - 6mn + 9 {n}^{2} ) \\ \\ = {x}^{2} - ( {(m)}^{2} - 2(m)(3n) + {(3n)}^{2} )$

Now,

we know that,

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

Therefore,

using this identity,

we get,

$= {(x)}^{2} - {(m - n)}^{2}$

Also,

we know that,

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

Therefore,

using this identity,

we get,

$= \bold{(x + m - n)(x - m + n)}$

Answer 2

Answer:

(x+m-3n) (x-m+3n)

Step-by-step explanation:

Is the answer of this question