If a + B = 10, ab = 7, find the square of (a-b)

If a + B = 10, ab = 7, find the square of (a-b)

To use the complete square formula (a + b) ^ 2 = a ^ 2-2ab + B ^ 2, but how can it be (a-b) ^ 2 = (a + b) ^ 2-4ab = 100-28 = 72

Given a + B = 6, ab = - 27, find the value of a's square + B's Square, a's square + B's Square - ab

Solution
a+b=6
The square of both sides is as follows:
(a+b)²=36
That is a & # 178; + 2BA + B & # 178; = 36
∵ab=-27
∴a²+b²-54=36
∴a²+b²=90
a²+b²-ab
=90-(-27)
=117
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Given that the square of (a + b) is 19 and the square of (a-b) is 5, find the square of (1) a + the square of B and (2) ab

Square of (a + b) - (a-b) square = 19-5a square + 2Ab + b square - (a square - 2Ab + b square) = 14a square + 2Ab + b square - a square + 2ab-b square = 144ab = 14ab = 3.5 (a + b) flat + (a-b) square = 19 + 5A square + 2Ab + b square + (a square - 2Ab + b square) = 24