Question

${m}^{4} + {2m}^{2} {n}^{2} + {n}^{4}$
factories by using idienties. step by step​

Answer 1

Step-by-step explanation:

your answer

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Answer 2

Answer:

(m² + n²)²

Step-by-step explanation:

Given : m⁴ + 2m²n² + n⁴

We can write this as :

→ (m²)² + 2m²n² + (n²)²

Comparing the above equation with the following Identity.

• { Identity : a² + 2ab + b² = (a + b)²

Here, a = m², b = n² }

We can also write the above equation as :

→ (m²)² + 2(m²)(n²) + (n²)²

→ (m² + n²)²

Other identities which are frequently used :

• (a - b)² = a² - 2ab + b²

• a² - b² = (a + b)(a - b)