Question

Question number 4 solve.

Answer 1

`\mathsf{Given : (3m^2 - 3n^2)/(6m - 6n)}`

`\mathsf{\implies (3(m^2 - n^2))/(6(m - n))}`

`\bigstar` We know that : (A² - B²) = (A + B)(A - B)

`:\implies` (m² - n²) can be written as (m + n)(m - n)

`\mathsf{\implies (3(m + n)(m - n))/(6(m - n))}`

`\mathsf{\implies ((m + n))/(2)}`

Answer 2

Explanation:

x² - y² =(x +y)(x -y)

`(3m^(2)-3n^(2))/(6m-6n)=(3*(m^(2)-n^(2)))/(6*(m-n))\\\\=(m^(2)-n^(2))/(2*(m-n))\\\\=((m+n)*(m-n))/(2*(m-n))\\\\=(m+n)/(2)`