Question

Solve:
(x+1)(x+9)_(x+6)(x+10)
(x+2)(x+4) (x+5)(x+7)​

Answer 1

1. $\display (x + 1) (x + 9) - (x + 6) (x + 10)$

$&#8658 {x}^{2} + x + 9x + 9 - (x + 6) (x + 10)$

$&#8658 {x}^{2} + x + 9x + 9 - {x}^{2} + 6x + 10x + 60$

$&#8658 {x}^{2} + 10x + 9 - {x}^{2} + 16x + 60$

$&#8658 0 - 6x - 51$

2. $(x+2)(x+4) (x+5)(x+7)$

$&#8658 {x}^{2} + 2x + 4x + 8 × {x}^{2} + 5x + 7x + 35$

$&#8658 {x}^{2} + 6x + 8 × {x}^{2} + 12x + 35$

$&#8658 {35x}^{2} + 210x + 280 + {12x}^{3} + {72x}^{2} + 96x + {x}^{4} - {6x}^{3} + {8x}^{2}$

$&#8658 {115x}^{2} + 306x + 280 + {6x}^{3} + {x}^{4}$