Question

factorize the following algebraic expressions.
m²-64n⁴​

Answer 1

Answer:

Factorization of the expression = [m - 8n²][m + 8n²]  

Explanation:

Given expression;

m²- 64n⁴​

Find:

Factorization of the expression

Computation:

m²- 64n⁴​

m²- [(8n²)]²​

Using formula;

a² - b² = (a + b)(a - b)

By putting value in above formula;  

So,

Factorization of the expression  = m²- [(8n²)]²​

Factorization of the expression  = (m)²- [(8n²)]²​

Factorization of the expression = [m - 8n²][m + 8n²]