Simplify: (3 sqrt{5}-5 sqrt{2})(4 sqrt{5}+3 s | vedclass

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Question

(A) To simplify the expression $(3 \sqrt{5}-5 \sqrt{2})(4 \sqrt{5}+3 \sqrt{2})$,we use the distributive property ($FOIL$ method):$= (3 \sqrt{5} 	imes

Vedclass · Accepted Answer

$30-11 \sqrt{10}$

Vedclass · Answer

(A) To simplify the expression $(3 \sqrt{5}-5 \sqrt{2})(4 \sqrt{5}+3 \sqrt{2})$,we use the distributive property ($FOIL$ method):$= (3 \sqrt{5} 	imes 4 \sqrt{5}) + (3 \sqrt{5} 	imes 3 \sqrt{2}) - (5 \sqrt{2} 	imes 4 \sqrt{5}) - (5 \sqrt{2} 	imes 3 \sqrt{2})$$= (12 	imes 5) + (9 \sqrt{10}) - (20 \sqrt{10}) - (15 	imes 2)$$= 60 + 9 \sqrt{10} - 20 \sqrt{10} - 30$$= (60 - 30) + (9 \sqrt{10} - 20 \sqrt{10})$$= 30 - 11 \sqrt{10}$

Simplify: $(3 \sqrt{5}-5 \sqrt{2})(4 \sqrt{5}+3 \sqrt{2})$

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