Question

(x+y+z)(x+y-z) simplify ​

Answer 1

Answer:

Expand (x+y+z)(x−y−z)(x+y+z)(x-y-z) by multiplying each term in the first expression by each term in the second expression.

x⋅x+x(−y)+x(−z)+yx+y(−y)+y(−z)+zx+z(−y)+z(−z)x⋅x+x(-y)+x(-z)+yx+y(-y)+y(-z)+zx+z(-y)+z(-z)

Simplify terms.

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x2−y2−yz−zy−z2x2-y2-yz-zy-z2

Subtract zyzy from −yz-yz.

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x2−y2−2yz−z2x2-y2-2yz-z2

Answer 2

Step-by-step explanation:

x(x+y-z)+y(x+y-z)+z(x+y-z)

= x²+xy-xz+yx+y²-yz+zx+zy-z²

= xy+yx-xz+zx-yz+zy+x²+y²-z²

= 2xy + x² + y² - z²