7. If a + b = 7 and ab = 12, find the value of (a2 – ab + b2).
Hint. a2 - ab + b2 = (a + b)2 – 3ab.
jain2629:
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= (a+b)^2 = a^2 + b^2 + 2ab
adding - 3ab both sides
= (a + b )^2 - 3ab = a^2 + b^2 - ab
= 7^2 - 3*12 = a^2 + b^2 - ab
= 49 - 36 = a^2 + b^2 -ab
= 13 = a^2 + b^2 - ab
hope it helped you
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