Question

Subtract (x^2-5y^2+2z^2) from the sum of (-3x^2-7y^2+z^2), (3x^2-y^2+7z^2) and (-x^2-y^2-2z^2)

Answer 1

${3x}^{2} - {7y}^{2} + {z}^{2} + {3x}^{2} - {y}^{2} + {7z}^{2} + { - x}^{2} - {y}^{2} - {2z}^{2}$

${3x}^{2} + {3x}^{2} { - x}^{2} { - 7y}^{2} { - y}^{2} { - y}^{2} { + z}^{2} + {7z}^{2} - {2z}^{2}$

${5x}^{2} - {9y}^{2} + {6z}^{2}$

${5x}^{2} - {9y}^{2} + {6z}^{2} - ( {x}^{2} - {5y}^{2} + {2z}^{2} )$

${5x}^{2} - {9y}^{2} + {6z}^{2} - {x}^{2} + {5y}^{2} - {2z}^{2}$

${5x}^{2} - {x}^{2} - {9y}^{2} + {5y}^{2} + {6z}^{2} - {2z}^{2}$

${4x}^{2} - {4y}^{2} + {4z}^{2}$

$4( {x}^{2} - {y}^{2} + {z}^{2} )$

HOPE IT HELPS YOU❤❤