Which of the following represents the simplified form of the expression below? (x3 + 4x2 + 12x − 13) − (-2x3 − x2 + 3x + 1)

3x3 + 5x2 + 9x - 14

Step-by-step explanation:

(x3 + 4x2 + 12x − 13) − (-2x3 − x2 + 3x + 1)

= (x3 + 4x2 + 12x − 13) + (2x3 + x2 - 3x - 1)      distribute the -1

= (x3 + 2x3) + (4x2 + x2) + (12x - 3x) + (-13 - 1)   rearrange the terms

= 3x3 + 5x2 + 9x - 14                                            combine like terms

 Second option is correct.

Explanation:

Since we have given that

Total area a farmer has as an orchard = 40 acres

Total area in which he grows apples = 25 acres

Total area on which he grows peaches = 7 acres

Total area on which he grows nectarines = 5 acres

Total area on which he grows plums = 3 acres

According to question, the fruit trees are equally distributed within the orchard,

So,

P( the tree is within the acres of apple trees) is given by

But we have to calculate the Probability that the tree is not within the acres of apple trees,

So, P( the tree is not within the acres of apple trees) is given by

Hence, Second option is correct.