if x = 2 - √5/2 + √5 and y = 2 + √5/2-√5, find the value of x² - y²
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Step-by-step explanation:
x=2-√5/2+√5
y=2+√5/2-√5
x²-y²
=(x+y)(x-y)
=(2-√5/2+√5+2+√5/2-√5)[2-√5/2+√5-(2+√5/2-√5)
=2(2-√5/2+√5-2-√5/2+√5)
=2(2*-√5/2+2√5)
=2(-√5+2√5)
=2√5
hope this helps you
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