If x²+ y²= 80 and xy = 12, find the value of (x - y)².

asked Oct 23, 2023 215k views

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7 votes

We need to factorise (x−y) 2

We know the identity (a−b)2 =a2 −2ab+b2

Thus we have (x−y)2 =x2 −2xy+y2

Twedl answered Oct 25, 2023

by Twedl

4.9k points

10 votes

$(x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56$

DoctorBroctor answered Oct 28, 2023

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