Question

Factorise the following.​

Answer 1

viii. 2x(1 - 2x)(1 + 2x)(1 + 4x²)

ix. 4xy

Explanation:

viii. 2x - 32x⁵

= 2x(1 - 16x⁴)

= 2x(1² - (4x²)²)

= 2x(1 + 4x²)(1 - 4x²) ( a² - b² = (a + b)(a - b))

= 2x(1 + 4x²)(1² - (2x)²)

= 2x(1 + 4x²)(1 - 2x)(1 + 2x)

ix. (x+y)² - (x - y)²

= (x+ y + x - y)( x + y - x + y)

= 2x x 2y

= 4xy