Question

y^3-1/64x^3 factorise​

Answer 1

Answer:

Formula: a^3- b^3= (a-b)(a^2-ab+b^2)

=(y)^3- (4x)^3

=(y-4x)(y^2-4xy+y^2)

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Answer 2

Answer:

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

${y}^{3} - \frac{1}{64 {x}^{3} }$

$= {y}^{3} - {(\frac{1}{4x}) }^{3}$

$= (y - \frac{1}{4x} )( {y}^{2} + (y)( \frac{1}{4x} ) + \frac{1}{ {4x}^{2} } )$

$= (y - \frac{1}{4x} )( {y}^{2} + \frac{y}{4x} + \frac{1}{16 {x}^{2} } )$