Question

Factorise 4x(x-4)wholesuare -9x(x-4)cube

Answer 1

Answer:

${4x(x - 4 \: )}^{2} - 9x {(x - 4)}^{3} \\ \\ =(x - 4) = a \\ = 4x {a}^{2} - 9x {a}^{3} \\ = {a}^{2} (4x - 9xa) \\ = (x - 4)^{2} (4x - 9x(x - 4) \\ = (x - 4)^{2} (4x - 9x)(x - 4)$