SOLUTION: What would {{{ (4sqrt( 3) - 2sqrt (5) ) }}} be multiplied by to get {{{ (4sqrt (3) )^3 - (2sqrt (5) )^3 }}}?

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: What would {{{ (4sqrt( 3) - 2sqrt (5) ) }}} be multiplied by to get {{{ (4sqrt (3) )^3 - (2sqrt (5) )^3 }}}?      Log On


   

Question 1052041: What would +%284sqrt%28+3%29+-+2sqrt+%285%29+%29+ be multiplied by to get +%284sqrt+%283%29+%29%5E3+-+%282sqrt+%285%29+%29%5E3+?
Answer by MathTherapy(10552) About Me  (Show Source):
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What would +%284sqrt%28+3%29+-+2sqrt+%285%29+%29+ be multiplied by to get +%284sqrt+%283%29+%29%5E3+-+%282sqrt+%285%29+%29%5E3+?
Difference of cubes binomial a%5E3+-+b%5E3%29 is factored as: %28a+-+b%29%28a%5E2+%2B+ab+%2B+b%5E2%29

Likewise, %284sqrt%283%29%29%5E3+-+%282sqrt%285%29%29%5E3 is factored as: ______%284sqrt%283%29+-+2sqrt%285%29%29%2848+%2B+8sqrt%2815%29+%2B+20%29_____%284sqrt%283%29+-+2sqrt%285%29%29%2868+%2B+8sqrt%2815%29%29

Therefore, %284sqrt%283%29+-+2sqrt%285%29%29 is MULTIPLIED by  to get: %284sqrt%283%29%29%5E3+-+%282sqrt%285%29%29%5E3