Question

Factorise : m^4−625

answer in detail pls

Answer 1

Step-by-step explanation:

We know

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

Here,

$a = m {}^{2}$

$b = 25$

$m {}^{4} - 625 = (m {}^{2} + 25)(m {}^{2} - 25)$

Again, In

$m {}^{2} - 25$

a = m

b = 5

$(m {}^{2} - 25) = (m + 5)(m - 5)$

So,

$(m {}^{4} - 625) = (m {}^{2} + 25)(m + 5)(m - 5)$

I hope this will help you.

Answer 2

Answer:

(m²)² - (25)²

= (m²+25)(m²-25)

=(m²+25){m²-(5)²}

=(m²+25)(m+5)(m-5)