Question

Hasil dari (x+y)⁴ adalah?
pakai cara

Answer 1

(x + y)⁴
= (x + y) (x + y) (x + y) (x + y)
= (x² + 2xy + y²) (x² + 2xy + y²)
= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴
= x⁴ + 4x³y + 6x²y² + 4xy³ + y⁴

atau dengan segitiga pascal
pangkat 4 ( 1  4  6  4  1 )

(x + y)⁴
1x⁽⁴⁻°⁾ + 4x⁽⁴⁻¹⁾y⁽⁴⁻³⁾ + 6x⁽⁴⁻²⁾y⁽⁴⁻²⁾ + 4⁽⁴⁻³⁾y⁽⁴⁻¹⁾ + y⁽⁴⁻°⁾
= x⁴ + 4x³y + 6x²y² + 4xy³ + y⁴