Question

(m²‐2mn+n²)‐p² facterise​

Answer 1

Answer:

(m-n-p)(m-n+p)

Step-by-step explanation:

(m²-2mn+n²)-p²

=(m-n)²-p² Formula used- (a-b)²=a²-2ab+b²

=((m-n)-p)((m-n)+p) Formula used- a²+b²=(a-b)(a+b)

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

Answer 2

Answer:

(m-n-p)(m-n+p) is the required root for this given equation ,

Step-by-step explanation:

Explanation :

Given , $(m^{2} -2mn+n^{2}) -p^{2}$

As we know the formula ,

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

Step1:

Therefore we have , $(m^{2} -2mn+n^{2}) -p^{2}$

⇒$(m-n)^{2}$ -$p^{2}$      (from the formula of $(a-b)^{2}$)

⇒[(m-n)-p][(m-n)+p]

(From the formula of $a^{2} -b^{2}$)

⇒(m-n-p)(m-n+p)

Final answer:

Hence , (m-n-p)(m-n+p) is the  product root of the given equation .