Question

factorise (4/5x-2)^3​

Answer 1

Answer:

Answer

Given: 4x4−5x2+1

          =4y2−5y+1, (let x2=y)

          =4y2−4y−y+1, (split the middle term)

          =(4y2−4y)+(−y+1), (group pair of terms)

          =4y(y−1)−1(y−1), (factor each binomials) 

          =(y−1)(4y−1), (factor out common factor (y−1))

          =(x2−1)(4x2−1), (substitute back y=x2)

Answer 2

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