Question

descompuneți a^6+b^6

Answer 1

${a}^{6} + {b}^{6} = \\ \\ {a}^{3 \times 2} + {b}^{3 \times 2} = \\ \\ ( {a}^{2}) ^{3} + ( {b}^{2}) ^{3} = \\ \\ ( {a}^{2} + {b}^{2}) \times (( {a}^{2}) ^{2} - {a}^{2} {b}^{2} + ( {b}^{2}) ^{2}) = \\ \\ ( {a}^{2} + {b}^{2}) \times ( {a}^{4} - {a}^{2} {b}^{2} + {b}^{4})$

Answer 2

a⁶+b⁶ =

(a²)³+(b²)³ =

(a²+b²)[(a²)² - a²b² + (b²)] =

(a²+b²)(a⁴ - a²b² + b⁴)