(x-y)(y+x)+(y-z)(z+y)=xsq.-zsq.
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HERE IS YOUR ANSWER
STEP BY STEP EXPLANATION:
=(X-Y)(X+Y)+(Y-Z)(Z+Y),
=X^2+Y^2-Y^2-Z^2,
=X^2-Z^2
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Answer:
Given equation :-
=> ( x + y)(x - y) + (y - z)(y + z)
we know that (a + b)(a - b) = a² - b²
=> (x + y)(x - y) = x² - y²
=> ( y + z)( y - z) = y² - z²
So, (x + y)(x - y) + ( y + z)(y - z) = x² - y² + y² - z²
So, the answer you'll get is x² - z²
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