Question

Simplify This (4√3-3√5)²

Answer 1

Step-by-step explanation:

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

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Answer 2

First this comes under algebra so we apply identify here (a-b)^2=a^2+b2-2ab

where a=4√3

and b=3√5

now we proceeds

(4√3-3√5)^2

$= (4 \sqrt{3} ) ^{2} + (3 \sqrt{5} ) ^{2} - 2 \times 4 \sqrt{3} \times 3 \sqrt{5} \\ = (4 \times 4 \times \sqrt{3} \times \sqrt{3} ) + (3 \times 3\ \times \sqrt{5} \times \sqrt{5} ) \times - 24 \times \sqrt{3} \times \sqrt{5} \\ = 48 + 45 - 24 \times \sqrt{3} \times \sqrt{5} \\ = 93 - 24 \times \sqrt{3} \times \sqrt{5} \\ = 69 \sqrt{3} \times \sqrt{5}$