Question

simplify
(mn – np)2 + 2mn²p​

Answer 1

Here, (mn-np)²+2mn²p

= (mn)²-2.mn.np+(np)²+2mn²p

= m²n²- 2mn²p+n²p²+2mn²p

= m²n²+n²p² Ans.

Answer 2

Answer:

The simplified form of (mn - np)² + 2mn²p is n² (m² + p²)

Step-by-step explanation:

Given (mn - np)² + 2mn²p

We that by (a - b)² = a² + b² - 2ab

Therefore, using this above considering mn as a and np as b

=> (mn)² + (np)² - 2 (mn) (np) + 2mn²p

=> m²n² + n²p² - 2mn²p + 2mn²p

=> m²n² + n²p²

Taking common, we get

n² (m² + p²)

Therefore, the simplified form of (mn - np)² + 2mn²p is n² (m² + p²)