If a-b = 4 and A+B = 6 find a^2+b^2
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it is 26
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a - b = 4 _________(1)
And a + b = 6_____(2)
a²+ b² = ?
From1
a = 4+b
Put a = 4+b in eq 2
4+b+ b = 6
4 + 2b = 6
2b =2
b = 1
Pur b = 1 in eq 2
a = 5
Now,
a²+ b²
=5²+1²
=25 +1
=26
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