Question

(-x+2y-3z)^2 expand using identity​

Answer 1

Answer:

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Step-by-step explanation:

$\sf\red{using \: identity = {(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2(ab + bc + ca) }$

$\sf \purple{ =( { - x}^{2} + 2y - 3z)2} \\ = \sf \purple{ {( - x)}^{2} + ( {2y}^{2} ) + ( { - 3z}^{2} ) + 2( - x \times 2y + 2y \times - 3z + (- 3z \times - x))} \\ \sf \purple{ = > {x}^{2} + {4y}^{2} + {9z}^{2} + 2( - 2xy - 6yz + 3zx) } \\ = > \sf \red{ {x}^{2} + {4y}^{2} + {9z}^{2} - 4xy - 12yz + 6zx }$

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