Question

2/5(d−10)−23(d+6)25(d−10)−23(d+6) is

Answer 1

Simplify
`(2)/(5)` (d - 10) to
`(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