Question

(vi) Factored form of x*4 - 16 is​

Answer 1

Step-by-step explanation:

$4x - 16 = 0 \\ = > 4x = 16 \\ = > x = \frac{16}{4} = 4$

Answer 2

Factorize x⁴ - 16

x⁴ can be expressed as (x²)²

16 is the square of 4

Therefore by expressing them as squares,

(x²)² - (4)²

Identity applied = a²-b² = (a+b)(a-b)

(x²-4)(x²+4)

for x²-4 we can again apply the identity as 4 is a 2 square.

(x²-2²)(x²+4)

(x-2)(x+2)(x²+4)

Hope it helps

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