Question

Factorise

$5 {m}^{2} - 5 {n}^{2}$
​

Answer 1

5m²-5n²

using (a²-b²)=(a+b)(a-b)

(√5m+√5n)(√5m-√5n)

hence the two factors are-

(√5m+√5n) & (√5m-√5n)

hope it helps you

Answer 2

${\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{Answer}}}}}}}}}}}}}}}}}}}}}}}}}}$

$✯ \: \sf 5 {m}^{2} - 5 {n}^{2}$

$☞ \: \sf 5 ({m}^{2} - {n}^{2})$

By using identinty a²-b²=(a+b)(a-b)

$☞ \: \sf 5 ({m}^{2} - {n}^{2}) =5 (m+n)(m-n)$

$\boxed{\sf 5 (m+n)(m-n)}$

Therefore, answer is 5(m+n)(m-n)