Question

Factorise a cube x cube -3 a squre bx square +3ab square x - b cube

Answer 1

${a}^{3} {x}^{3} - 3 {a}^{2} b {x}^{2} + 3a {b}^{2} x - {b}^{3 } \\ = {(ax)}^{3} - {b}^{3} - 3 \times ax \times b(ax - b) \\ = {(ax - b)}^{3} \\ (ax - b)(ax - b)(ax -b )$
we are using identity
${(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y)$
here x = ax
y= b

Answer 2

Answer:

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