(x^2+y^2-z^2)^2-(x^2-y^2+z^2)^2
Answers
Step-by-step explanation:
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Answer:
The formula for (x-y-z)^2(x−y−z)
The formula for (x-y-z)^2(x−y−z) 2
The formula for (x-y-z)^2(x−y−z) 2 is equal to x^2+y^2+z^2-2xy+2yz-2zxx
The formula for (x-y-z)^2(x−y−z) 2 is equal to x^2+y^2+z^2-2xy+2yz-2zxx 2
The formula for (x-y-z)^2(x−y−z) 2 is equal to x^2+y^2+z^2-2xy+2yz-2zxx 2 +y
The formula for (x-y-z)^2(x−y−z) 2 is equal to x^2+y^2+z^2-2xy+2yz-2zxx 2 +y 2
The formula for (x-y-z)^2(x−y−z) 2 is equal to x^2+y^2+z^2-2xy+2yz-2zxx 2 +y 2 +z
The formula for (x-y-z)^2(x−y−z) 2 is equal to x^2+y^2+z^2-2xy+2yz-2zxx 2 +y 2 +z 2
The formula for (x-y-z)^2(x−y−z) 2 is equal to x^2+y^2+z^2-2xy+2yz-2zxx 2 +y 2 +z 2 −2xy+2yz−2zx
Solutions
=(x)^2+(-y)^2+(z)^2+2.x.(-y)+2.(-y).(-z)+2.(-z).x=(x)
=(x)^2+(-y)^2+(z)^2+2.x.(-y)+2.(-y).(-z)+2.(-z).x=(x) 2
=(x)^2+(-y)^2+(z)^2+2.x.(-y)+2.(-y).(-z)+2.(-z).x=(x) 2 +(−y)
=(x)^2+(-y)^2+(z)^2+2.x.(-y)+2.(-y).(-z)+2.(-z).x=(x) 2 +(−y) 2
=(x)^2+(-y)^2+(z)^2+2.x.(-y)+2.(-y).(-z)+2.(-z).x=(x) 2 +(−y) 2 +(z)
=(x)^2+(-y)^2+(z)^2+2.x.(-y)+2.(-y).(-z)+2.(-z).x=(x) 2 +(−y) 2 +(z) 2
=(x)^2+(-y)^2+(z)^2+2.x.(-y)+2.(-y).(-z)+2.(-z).x=(x) 2 +(−y) 2 +(z) 2 +2.x.(−y)+2.(−y).(−z)+2.(−z).x
=(x)^2+(-y)^2+(z)^2+2.x.(-y)+2.(-y).(-z)+2.(-z).x=(x) 2 +(−y) 2 +(z) 2 +2.x.(−y)+2.(−y).(−z)+2.(−z).x=x^2+y^2+z^2-2xy+2yz-2zx
We know that, (x-y)=p(x−y)=p , substitute this in the above one, we get,
=( x - y ) ^ { 2 } + z ^ { 2 } - 2 p z } \\\\ { = x ^ { 2 } + y ^ { 2 } - 2 x y + z ^ { 2 } - 2 p z } \\\\ { = x ^ { 2 } + y ^ { 2 } - 2 x y + z ^ { 2 } - 2 ( x - y ) z } \\\\ { = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 x y - 2 x z + 2 y z } \\\\ { ( x - y - z ) ^ { 2 }
= x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 x y + 2 y z - 2 x z }
Hence, proved the above driven formula.
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z)
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2 will be
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2 will be x^2+y^2+z^2-2xy+2yz-2xzx
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2 will be x^2+y^2+z^2-2xy+2yz-2xzx 2
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2 will be x^2+y^2+z^2-2xy+2yz-2xzx 2 +y
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2 will be x^2+y^2+z^2-2xy+2yz-2xzx 2 +y 2
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2 will be x^2+y^2+z^2-2xy+2yz-2xzx 2 +y 2 +z
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2 will be x^2+y^2+z^2-2xy+2yz-2xzx 2 +y 2 +z 2
Hence, proved the above driven formula.Thus, the formula for (x-y-z)^2(x−y−z) 2 will be x^2+y^2+z^2-2xy+2yz-2xzx 2 +y 2 +z 2 −2xy+2yz−2xz