Question

6x4 - 24x3y3 + 24y6x2 factorize​

Answer 1

Answer:

$\red {6x^{4} - 24x^{3}y^{3} + 24y^{6}x^{2}}$

$\green {= 6x^{2}(x-2y^{3})(x-2y^{3})}$

Step-by-step explanation:

$6x^{4} - 24x^{3}y^{3} + 24y^{6}x^{2}$

$= 6x^{2}(x^{2} - 4xy^{3} + 4y^{6})$

$= 6x^{2}[ x^{2} - 2\times x \times 2y^{3} + (2y^{3})^{2} ]$

$= 6x^{2}(x-2y^{3})^{2}$

$\boxed { \pink { a^{2} -2ab + b^{2} = (a-b)^{2}}}$

$= 6x^{2}(x-2y^{3})(x-2y^{3})$

Therefore.,

$\red {6x^{4} - 24x^{3}y^{3} + 24y^{6}x^{2}}$

$\green {= 6x^{2}(x-2y^{3})(x-2y^{3})}$

•••♪