Factorise the following.​

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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

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

false.

step-by-step explanation:

false.

cavalieri's principle makes that statement about the volumes, not about the areas.