factorise 44(a^4-5a^3-24a^2)÷11a(a-8)
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=44(a^4-5a^3-24a^2)÷11a(a-8)
=44a^2(a^2-5a-24)÷11a(a-8) ...........44a^2÷11a=4a
=4a(a^2-8a+3a-24)÷(a-8) ...........quadratic equation
=4a(a+3)(a-8)÷(a-8) ......................(a-8)÷(a-8)=1
=4a(a+3)
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