Math, asked by SattuTattu, 11 months ago

Factorise a'6−63a'3−64

Answers

Answered by anindyaadhikari13
2

\star\:\:\:\bf\large\underline\blue{Question:-}

  • Factorise the polynomial.

\star\:\:\:\bf\large\underline\blue{Solution:-}

 {a}^{6}  - 63 {a}^{3}  - 64

 {a}^{6}  - 64 {a}^{3} +  {a }^{3}   - 64

 =  {a}^{3} ( {a}^{3}  - 64) + 1( { a}^{3}  - 64)

 =  ({a}^{3}  + 1)( { a}^{3}  - 64)

 = (a + 1)( {a}^{2}  - a + 1)(a - 4)( {a}^{2}  + 4a +16)

\star\:\:\:\bf\large\underline\blue{Answer:-}

  • (a + 1)( {a}^{2}  - a + 1)(a - 4)( {a}^{2}  + 4a +16)
Answered by nehashanbhag0729
2

Answer:

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