Question

If (a+b)²=100 and (a-b)²=4 find the value of ab.

Answer 1

Answer:

$we \: know \:that \: {(a + b) }^{2} = {a}^{2} + {b}^{2} + 2ab \\ = > {100}^{2} = {a }^{2} + {b }^{2} - 2ab + 4ab \\ = > 10000 = {(a - b)}^{2} + 4ab \\ = > 10000 = {4}^{2} + 4ab \\ = > 10000 - 16 = 4ab \\ = > 9984 = 4ab \\ = > ab = \frac{9984}{4} \\ = > ab = 2496$

Step-by-step explanation:

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