Question

write the factor of x³-8y³​

Answer 1

Answer:

${x}^{3} - 8 {y}^{3} = {x}^{3} - ( {2y})^{3} \\ = ( {x - 2y})^{3} - 3x \times 2y(x - 2y) \\ = ( {x - 2y})^{3} - 6xy(x - 2y) \\ = ( {x - 2y})( ( {x - 2y})^{2} - 6xy) \\ = ( {x - 2y})( {x}^{2} + ( {2y})^{2} - 4xy - 6xy) \\ = ( {x - 2y})( {x}^{2} + 4{y}^{2} - 10xy)$

Answer 2

Answer:

Question :-

➠ x³ - 8y³

Formula used :-

➪ a³ - b³

➭ (a - b) (a² + ab + b²)

Answer :-

➠ x³ - 8y³

➻ (x)³ - (2y)³

➻ (x - 2y) {(x)² + x × 2y + (2y)²}

➻ (x - 2y) (x² + 2xy + 4y²)

∴ The value of x³ - 8y³ is (x - 2y) (x² + 2xy + 4y²)