Question

Make a diary entry describing the role that you played in organising your class assembly

Answer 1

Explanation:

(2m + 3n)² - (3m + 2n)² = - 5(m + n)(m - n)

Given :

The expression (2m + 3n)² - (3m + 2n)²

To find :

To factorise the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(2m + 3n)² - (3m + 2n)²

Step 2 of 2 :

Factorise the expression

(2m + 3n)² - (3m + 2n)²

\sf = (2m + 3n + 3m + 2n)(2m + 3n - 3m - 2n)=(2m+3n+3m+2n)(2m+3n−3m−2n)

\sf = (5m + 5n)( - m + n)=(5m+5n)(−m+n)

\sf = - (5m + 5n)( m - n)=−(5m+5n)(m−n)

\sf = - 5(m + n)( m - n)=−5(m+n)(m−n)