Question

simplify (5√2 + 2√3)(5√2 − 2√3)​

Answer 1

Step-by-step explanation:

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Answer 2

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

$= {(5 \sqrt{2}) }^{2} - ( { 2\sqrt{3}) }^{2} \\ \\ = 25 \times 2 - 4 \times 3 \\ = 50 - 12 \\ = 38$

Formula used :

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