Question

If a + b = 18 and ab = 56 , the value of a2 + b2= ??????​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

GIVEN

$a + b = 18$

$ab = 56$

FORMULA;

$(a+b)^2= a^2 +b^2 +2ab$

TO FIND

$a^2 + b^2 = ?$

ACCORDING TO QUESTION

$=> (a+b)^2 = a^2 + b^2 + 2ab$

$=> (18)^2 = a^2 + b^2 + 2×56$

$=> 324 = a^2 + b^2 + 112$

$=> 324 -112 = a^2 + b^2$

$=> 212 = a^2 +b^2$

THEREFORE

$a^2 + b^2 = 212$

ADDITIONAL INFORMATION;

$(a + b)^2 = a^2 + b^2 + 2ab$

$(a - b)^2 = a^2 + b^2 - 2ab$

$(a-b)(a+b) = a^2 - b^2$

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