How do you simplify $(2 t + 4) 3 + 6 (- 5 t) - (- 8)$ $(2t+4)3+6(-5t)-(-8)$ ?

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Answer 1 · 2016-09-18T08:56:33

$6 t - 10$ $6t-10$

Remove the brackets using the distributive law. Be careful of the signs.

$(2 t + 4) 3 + 6 (- 5 t) - (- 8)$ $(2t+4)color(blue)(3)+6(-5t)-(-8)$

= $3 (2 t + 4) + 6 (- 5 t) - (- 8) \leftarrow$ $color(blue)(3)(2t+4)color(red)(+6(-5t))color(lime)(-(-8))" "larr$ there are 3 terms

= $6 t + 12 - 30 + 8$ $color(blue)(6t+12)color(red)(-30)color(lime)(+8)$

= $6 t + 12 + 8 - 30 \leftarrow$ $6t +12+8-30" "larr$ re-arrange for easier calculation

= $6 t - 10$ $6t-10$

How do you simplify (2t+4)3+6(−5t)−(−8)(2t+4)3+6(-5t)-(-8)?