How do you factor the expression x^3y^3-125x3y3125?

2 Answers
May 24, 2018

(xy-5)((xy)^2-5xy+25)(xy5)((xy)25xy+25)

Explanation:

Use the formula a^3-b^3=(a-b)(a^2+ab+b^2)a3b3=(ab)(a2+ab+b2)

May 24, 2018

(xy-5)(x^2y^2+5xy+25)(xy5)(x2y2+5xy+25)

Explanation:

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)