If x = a3, then factorise x2 26x 27 in the terms of a - Maths - Polynomials

Question

If x = a3, then factorise x2 – 26x
– 27 in the terms of a

Arnab Gupta · Accepted Answer

Dear Student ,

x=a3 then we have to  factorize x2-26x-27 in terms of aGiven : x=a3x2-26x-27After factorizing the given equation =x2-27x+x-27=xx-27+1x-27=x+1x-27Putting x=a3 Then we get=a3+1a3-27=a3+13a3-33  Using identities a3+b3=(a+b)(a2+b2−ab) and a3−b3=(a−b)(a2+b2+ab) =a+1a2+1-aa-3 a2+32+3aor =(a+1)(a2-a+1)(a-3) (a2+3a+9)

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If x = a3, then factorise x2 – 26x – 27 in the terms of a.

If x = a³, then factorise x² – 26x – 27 in the terms of a.