Question

31. x(x + 1)(x + 3)(x +4)=180​

Answer 1

$\huge\underline\bold\red{Solution}$

x(x+1)(x+3)(x+4) = 180

(x²+x)(x+3)(x+4)= 180

(x²+x)x(x+4)+3(x+4)= 180

(x²+x)(x²+4x+3x+12)= 180

(x²+x)(x²+7x+12)= 180

x²(x²+7x+12)+x(x²+7x+12) = 180

x⁴+7x³+12x²+x³+7x²+12x = 180

x⁴+8x³+19x²+12x = 180