Question

Expand (4√3 − 3√5)^2

Answer 1

this is the solution for your question

Answer 2

Thanks for the question!

$(4 \sqrt{3} -3 \sqrt{5} ) ^{2} \: \\ \\ = (4 \sqrt{3} ) ^{2} + (3 \sqrt{5}) ^2 - 2(4 \sqrt{3})(3 \sqrt{5} ) \\ \\ = (16 \times 3 ) + ( 9 \times 5 ) + 24 \sqrt{15} \\ \\ = 48 + 45 -24 \sqrt{15} \\ \\ = 93 - 24 \sqrt{15}$

$\boxed{ Formulae \: used \: : ( a - b) ^2 = a^2 + b^2 + 2ab }$

(or)

(4√3 − 3√5)^2

= 4√3 - 3√5 * 4√3 - 3√5

= 4√3 ( 4√3 - 3√5 ) - 3√5( 4√3 - 3√5)

= 16(3) - 12√15 - 12√15 + 9(5)

= 48 + 45 - 24√15

= 93 - 24√15

Hope helped!