Question

Перетворити вираз у многочлен:
1) [5a-1/b b)² 2) ( m+ n2)( n²-m³)
3) ( x+4)²-(x-3) (x+3) 4) (3p-2q)(3p+2q) -
-(3p+2q)²

Answer 1

$1)(5a - \frac{1}{b} ) {}^{2} = \\ 25a {}^{2} + \frac{1}{b {}^{2} } - 10ab \\ 2)(m + n {}^{2} )(n {}^{2} - m {}^{3} ) = \\ (m + n {}^{2} )( - m {}^{3} + n {}^{2} ) = \\ mn {}^{2} - m {}^{4} - m {}^{3} n {}^{2} - n {}^{4} \\ 3)(x + 4) {}^{2} - (x - 3)(x + 3) = \\ (x + 4) {}^{2} - (x {}^{2} - 9) = \\ (x {}^{2} + 16 + 8x) - (x {}^{2} - 9) = \\ 16 + 8x + 9 = 8x + 25 \\ 4)(3q - 2q)(3q + 2q) - (3p + 2q) {}^{2} = \\ (9p {}^{2} - 4q {}^{2} ) - (9p {}^{2} + 4q {}^{2} + 12ap) = \\ 9p {}^{2} - 4q {}^{2} - 9p {}^{2} - 4q {}^{2} - 12ap = - 8q {}^{2} - 12ap$