Question

18. If (a - b) = 7 and ab = 9, then (a? + b2) = ?​

Answer 1

$a - b = 7$

$ab = 9$

Squaring both side, we get,

$(a - b)^{2} = 49$

Or,

${a}^{2} - 2ab + {b}^{2} = 49$

Putting the value of ab, we get,

${a}^{2} + b^{2} - 2 \times 9 = 49$

Or,

${a}^{2} + b^{2} = 49 + 18$

Or,

${a}^{2} + {b}^{2} = 67$

Therefore, the answer is 67.

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Answer 2

I think you made a typo... So, the correct ques will be

${( {a }^{2} + b)}^{2}$

Refer to the attachment for the answer....