Question

simplify : (3xy-2pz)^3​

Answer 1

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$\star \rm \: {(3xy - 2pz)}^{3}$

$\mapsto \rm \: {(3xy)}^{3} - {(2pz)}^{3} - 3(3xy)(2pz)(3xy - 2pz)$

$\mapsto \rm \: 27 {x}^{3} {y}^{3} - 8 {p}^{3} {z}^{3} - 18xypz(3xy - 2pz)$

$\mapsto \rm \: 27 {x}^{3} {y}^{3} - 8 {p}^{3} {z}^{3} - 54 {x}^{2} {y}^{2} pz + 36xy {p}^{2} {z}^{2}$

Answer 2

Step-by-step explanation:

Used formula would be,,

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

= ( 3xy)^3 - 3×(3xy)^2×2pz + 3×3xy×(2pz)^2 - (2pz)^3

= 27x^3y^3 - 54px^2y^2z + 36p^2xyz^2 - 8p^3z^3

Hope it helps...

kindly mark answer as brainliest...