How do you factor the expression #x^3y^3-125#?

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Answer 1 · 2018-05-24T18:59:34

#(xy-5)((xy)^2-5xy+25)#

Use the formula #a^3-b^3=(a-b)(a^2+ab+b^2)#

Answer 2 · 2018-05-24T19:24:21

#(xy-5)(x^2y^2+5xy+25)#

subtraction of cubes;-

#:.a^3-b^3=(a-b)(a^2+ab+b^2)#

#x^3y^3-125#

#:.=(xy-5)(x^2y^2+5xy+5^2)#

#:.=(xy-5)(x^2y^2+5xy+25)#