Question

(5+2√6)^2 + (5-2√6)^2 - 10 * 5+2√6 * 5-2√6

Answer 1

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$
${(5 + 2 \sqrt{6})}^{2} =25 + 24 + 2(5)(2 \sqrt{6} )$
${(5 - 2 \sqrt{6} )}^{2} = 25 + 24 - 2(5)(2 \sqrt{6})$
$(5 + 2 \sqrt{6} )(5 - 2 \sqrt{6} ) = 25 - 24 = 1$
Add above first two quantities and multiply the third quantity by (-10) => 49+20√6+49-20√6-10=>
98-10 => 88 is the answer of the given quantity .Hope it helps you...Mark me as Brainliest if you think i am worthy of it.