(x+y+z)(x+y-z) find the product
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Answer:
x^2 + y^2 - z^2 + 2xy
Step-by-step explanation:
( x + y + z ) ( x + y - z )
= x ( x + y - z ) + y ( x + y - z ) + z ( x + y - z )
= x^2 + xy - zx + xy + y^2 - yz + zx + yz - z^2
= x^2 + y^2 - z^2 + xy + xy - yz + yz - zx + zx
= x^2 + y^2 - z^2 + 2xy + 0 + 0
= x^2 + y^2 - z^2 + 2xy
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