Question

Factor 16x4 - 4y2

A) (x + 4y)(x - 4y)
B) 4(2x2 + y)(2x2 - y)

Answer 1

Step-by-step explanation:

$16 {x}^{4} - 4 {y}^{2} \\ {4}^{2} {x}^{4} - {2}^{2} {y}^{2} \\ {4}^{2} {x}^{2} \times {x}^{2} - {2}^{2} {y}^{2} \\ (4 {x}^{2} - 2y)(4 {x}^{2} - 2y)$

Answer 2

Answer:

B

Step-by-step explanation:

16x⁴- 4y²

= 4( 4x⁴ -y²) (factorise common factor of 4)

= 4 [(2x²)² -y²]

= 4 (2x² +y)(2x² -y)

*a² -b²= (a+b)(a-b)