Question

factorise 128x^3y^3-250z^3​

Answer 1

$\large \underline \bold{Solution}$:-

$\rm{128x^{3}y^{3} - 250z^{3}}$

$\rm{2(64x³y³ - 125z³)}$

$\rm{2\bigg((4xy)³ - (5z)³\bigg)}$

$\rm{We \: know}$-

$\rm{\large \boxed{(a^{3} - b^{3}) = (a - b)(a^{2} + ab + b^{2})}}$

$\rm{So \: ,}$

$\rm{2(4xy - 5z)\bigg((4xy)^{2} + (4xy)(5z) + (5z)^{2}\bigg)}$

$\rm{2(4xy - 5z)\bigg(16x^{2}y^{2} + 20xyz + 25z^{2}\bigg)}$

Answer 2

answer is 2(4xy -5z)(16x²y² -20xyz + 25z²