Question

Using identity find the product: (2x - y + 3z)(x^2 + y^2 + 9z^2 + 2xy + 3yz - 6zx)

Answer 1

$\huge{\tt{ANSWER:-}}$

$(2x - y + 3z)( {x}^{2} + {y}^{2} + 9 {z}^{2} + 2xy + 3yz - 6zx)$

$= 2 {x}^{3} + 2x {y}^{2} + 18 {z}^{2} x + 4 {x}^{2} y + 6xyz - 12z {x}^{2} - {x}^{2} y - {y}^{3} - 9y {z}^{2} - 2 {xy}^{2} - 3 {y}^{2} z + 6xyz + 3z {x}^{2} + 3 {y}^{2} z + 27 {z}^{3} + 6xyz + 9y {z}^{2} - 18 {z}^{2} x$

$= 2 {x}^{3} + 3 {x}^{2} y + 18xyz - 9z {x}^{2} - {y}^{3} + 27 {z}^{ 3}$

$= 2 {x}^{3} - y^{3} + 27 {z}^{3} + 3 {x}^{2} y - 9z {x}^{2} + 18xyz$

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Hope It Helps Uh!! ❤