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sergeinik [125]
3 years ago
11

What is the answer to [(x²+4x)-2]²

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

x^{4} + 8x³ + 12x² - 16x + 4

Step-by-step explanation:

Given

[(x² + 4x) - 2 ]² ← simplify contents of bracket

= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis

= x^{4} + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms

= x^{4} + 8x³ + 12x² - 16x + 4

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Answer:

Option B is correct.

Stephanie should add Jim to her health care plan.

Step-by-step explanation:

Let's take the options one by one.

Option 1

If Jim's employers insure him and his wife.

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It means Jim will pay (0.58 of $378) for himself plus (0.73 of $345) for his wife.

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Option 2

If Stephanie's employers insure both of them.

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Amount Stephanie will pay = (0.65 × 298) + (0.70 × 349) - (0.10 × 298) = $408.2

Option 3

If each of them does an insurance plan with their respective employers

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Of all the three options, the option that minimizes their expenses is when Stephanie insures herself and Jim with her employers for a total cost of $408.2 compared to a total cost of $471.09 if Jim insures the two of them with his employers or $412.94 if they respectively insure each other with their respective employers.

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