Question

Factorise m(m-1) - n ( n-1)

Answer 1

Answer:

m(m-1) - n(n-1)

= m² - m - n² + n

= ( m² - n² ) - ( m - n )

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

= ( m - n ) ( m + n - 1 )

Answer 2

Answer:

(m - n)(m+n-1) }⇒(m−n)(m+n−1)

Step−By−StepExplanation:−

{m(m-1)-n(n-1)}m(m−1)−n(n−1)

m^2 - m-n^2+n}⇒m² −m−n² +n

By changing positions for applying formula

m^2 -n^2-m+n}⇒m² −n² −m+n

a^2 - b^2 = (a+b) (a-b) }a² −b²=(a+b)(a−b)

By using this concept

(m +n)(m-n) -m+n}⇒(m+n)(m−n)−m+n

(m +n)(m-n) -(m-n) }⇒(m+n)(m−n)−(m−n)

Taking Common (m-n)

(m - n)(m+n-1) }⇒(m−n)(m+n−1)

Step-by-step explanation:

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