Question

2/5(d−10)−23(d+6)25(d−10)−23(d+6) is 

Answer 1

Simplify $\frac{2}{5}$ (d - 10) to $\frac{2(d - 10)}{5} $ :
\frac{2(d - 10)}{5} [/tex] - 23(d + 6) x 25(d - 10) - 23(d + 6)

Simplify 23(d + 6) x 25(d - 10) to 575(d + 6)(d - 10) :
\frac{2(d - 10)}{5} [/tex] - 575(d + 6)(d - 10) - 23(d + 6)

Then Expand : 
\frac{2(d - 10)}{5} [/tex] - 575$d^{2}$ + 5750d - 3450d + 34500 - 23d - 138

Now Collect Like Terms :
\frac{2(d - 10)}{5} [/tex] - 575$d^{2}$ + (5750d - 3450d + 34500 - 23d) + (34500 - 138)

Answer :
\frac{2(d - 10)}{5} [/tex] - 575$d^{2}$ + 2277d + 34362