(x+2y-z)square. Expand this by giving showing the method or step....
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(x+2y-z)square. Expand this by giving showing the method or step....
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=(X+2y-z)(X+2y-z)
=X(X+2y-z)+2y(X+2y-z)+z(X+2y-z)
=x²+2xy-xz+2xy+4y²-2yz+xz+2yz-z²
=x²+4y²-z²+4xy
Given:
We have to expand the given expression.
Solution:
∴
= (x +2y - z)(x +2y - z)
= x(x +2y - z) +2y(x +2y - z) - z(x +2y - z)
= + 2xy - xz + 2xy + 4 - 2yz - zx - 2yz +
= + 4 + + (2xy + 2xy) - (2yz + 2yz) - ( xz + xz)
= + 4 + + 4xy - 4yz - 2xz
= + 4 + + 2(2xy - 2yz - xz)
∴ The expandation of = + 4 + + 2(2xy - 2yz - xz)
Thus, the expandation of is equal to " + 4 + + 2(2xy - 2yz - xz)".