Question

simplify (4√3-3√5)^2​

Answer 1

Step-by-step explanation:

${(4 \sqrt{3} - 3 \sqrt{5} )}^{2} = (48 + 45 - 2 \times 4 \sqrt{3} \times - 3 \sqrt{5} )$

$= 93 + 24 \sqrt{15} \: is \: the \: correct \: answer$

Answer 2

Answer:

$(4 \sqrt{3} - 3 \sqrt{5} ) {}^{2} = \\ (a - b ){}^{2} = a {}^{2} + b {}^{2} - 2ab \\ = (4 \sqrt{3} {)}^{2} + (3 \sqrt{5} ) {}^{2} - 2(4 \sqrt{3} )(3 \sqrt{} 5 \\ = 48 + 45 - 24 \sqrt{15} \\ = 93 - 24 \sqrt{15} \\ = 3(21 - 8 \sqrt{15} )$

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