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

1.	Solve:(x+1)(x+9)_(x+6)(x+10)(x+2)(x+4) (x+5)(x+7)
Answer» 1. $\display (x + 1) (x + 9) - (x + 6) (x + 10)$ $⇒ {x}^{<klux>2</klux>} + x + 9x + 9 - (x + 6) (x + 10)$ $⇒ {x}^{2} + x + 9x + 9 - {x}^{2} + 6x + 10x + 60$ $⇒ {x}^{2} + 10x + 9 - {x}^{2} + 16x + 60$ $⇒ 0 - 6x - 51$ 2. $(x+2)(x+4) (x+5)(x+7)$ $⇒ {x}^{2} + 2x + 4x + 8 × {x}^{2} + 5x + 7x + 35$ $⇒ {x}^{2} + 6x + 8 × {x}^{2} + 12x + 35$ $⇒ {35x}^{2} + 210x + 280 + {12x}^{3} + {72x}^{2} + 96x + {x}^{4} - {6x}^{3} + {8x}^{2}$ $⇒ {115x}^{2} + 306x + 280 + {6x}^{3} + {x}^{4}$

Answer»

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