I assume you want to simplify the expression. Take a pair of parenthesised factors and multiply them out:
(x+2)(x+3)=x²+5x+6
Now multiply this result by another factor x+4:
x³+5x²+ 6x+
4x²+20x+24=x³+9x²+26x+24.
And multiply this by the last factor x+5:
x⁴+9x³+26x²+ 24x+
5x³+45x²+130x+120=x⁴+14x³+71x²+154x+120
Finally, subtract 48: x⁴+14x³+71x²+154x+72.