Question

x^6-64y^9 factories using formula :a^3-b^3=(a-b)(a^2+ab+b^2)
a^3+b^3=(a+b)(a^2-ab+b^2)​

Answer 1

Answer:-

$\sf {x}^{6} - 64 {y}^{9}$

$\sf = ( {x}^{2} )^{3} - {(4 {y}^{3}) }^{3}$

$\sf = ( {x}^{2} - 4 {y}^{3} )( {x}^{4} + 4 {x}^{2} {y}^{3} + 16 {y}^{6} )$

Hence, it is the factorised form.