Question

विस्‍तार करा : (2 x-3 y)³

Answer 1

8x^3-27y^3-3(2x)(3y)(2x-3y)

8x^3-27y^3-36x^2y+54xy^2

Answer 2

विस्‍तार सूत्र:

$( {a - b)}^{3} = {a}^{3} - {b}^{3} - 3 {a}^{2}b + 3a {b}^{2} \\ \\ a = 2x \\ \\ b = 3y \\ \\ {(2x - 3y)}^{3} = {(2x)}^{3} - {(3y)}^{3} - 3 {(2x)}^{2}(3y)+ 3(2x) {(3y)}^{2} \\ \\ = 8 {x}^{3} - 27 {y}^{3} - 36 {x}^{2} y + 54x {y}^{2}$
विस्‍तार

${(2x - 3y)}^{3} = 8 {x}^{3} - 27 {y}^{3} - 36 {x}^{2} y + 54x {y}^{2}$