Question

a raised to power 4 - b raised to power 4​

Answer 1

Answer:

$a {}^{4} - b {}^{4}$

$(a {}^{2} - b {}^{2} )\times (a {}^{2} + {b}^{2} )$

$a - b \times a + b \times {a}^{2} + {b}^{2}$

Answer 2

Given : a⁴ - b⁴

To Find : factorize

Solution:

a⁴ - b⁴

= (a²)² - (b²)²

Using the identity

x² - y² = (x + y)(x - y)

x = a²

y = b²

= (a² + b²)(a² - b²)

using x² - y² = (x + y)(x - y) again

x = a , y = b

=  (a² + b²)(a + b)(a - b)

a⁴ - b⁴  =  (a² + b²)(a + b)(a - b)

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