Factorise the following.
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Answer:
viii. 2x(1 - 2x)(1 + 2x)(1 + 4x²)
ix. 4xy
Step-by-step 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