Question

Simplify: (v5+v2)(v5-v2)
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Answer 1

Answer:

${(v5 - v2)}^{2} \\ {v5 }^{2} + {v2}^{2} - v5 \times v2 \\ \\ {v}^{2} 25 + {v}^{2} 4 - {v}^{2} 10$

Answer 2

Question:

Simplify: (v5+v2)(v5-v2)

Solution:

$( \sqrt{5} + \sqrt{2} )( \sqrt{5} - \sqrt{2)} \\ = \sqrt{5} ( \sqrt{5} - \sqrt{2} ) + \sqrt{2} ( \sqrt{5} - \sqrt{2} ) \\ = 5 - \sqrt{10} + \sqrt{10} - 2 \\ = 5 - 2 \\ = 3$

Another method :

We can the expression in the form of (a+b)(a-b)

As we know the formula of

$(x + y)( x - y) \\ = {x}^{2} - {y}^{2}$

Solution:

${ (\sqrt{5}) }^{2} - {( \sqrt{2)} }^{2} \\ = 5 - 2 \\ 3$