Question

Factorize (x^2-x)(4x^2-4x-5)-6

Answer 1

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$\huge\bold\red{{solution:-}}$

$({x}^{2}-x)(4{x}^{2}-{4x-5)-6}$

➪$4{x}^{4}-4{x}^{3}-5{x}^{2}-4{x}^{3}+$$4{x}^{2}+{5x-6}$

➪$4{x}^{4}-8{x}^{3}-{x}^{2}+{5x-6}$

➪$4{x}^{4}-8{x}^{3}-{x}^{2}+{2x+3x-6}$

➪$4{x}^{3}{(x-2)-x(x-2)+3(x-2)}$

➪$(x-2)(4{x}^{3}-{x+3)}$

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