subtract 4y (y-z+x) - 3x (x-y+z) from 5z (z-x-y)
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Answer:
subtracting 4y (y-z+x) - 3x (x-y+z) from 5z (z-x-y) = 3x²-4y²+5z²-7xy-yz-2xz
Step-by-step explanation:
5z(z-x-y) - [4y(y-z+x) - 3x(x-y+z)]
= 5z²-5zx-5zy - [ 4y²-4yz+4xy-3x²+3xy-3xz]
= 5z²-5zx-5zy-4y²+4yz-4xy+3x²-3xy+3xz
= 5z²-4y²+3x²-2xz-yz-7xy
= 3x²-4y²+5z²-7xy-yz-2xz
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