Answer:
A) 5x²(x^(8) - 16)
B) 5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]
Step-by-step explanation:
We are given the expression;
5x^(10) - 80x²
A) Since the expression is, 5x^(10) - 80x², the greatest common factor is 5x². So we will factorize that out.
So, we have;
5x²(x^(8) - 16)
B) The complete factorization of 5x²(x^(8) - 16) will be;
5x²[(x⁴ + √16) • (x⁴ - √16)]
Now, (x⁴ - √16)] can be broken than further into;
(x² + ∜16) • (x² - ∜16)
Also, (x² - ∜16) can be broken down into;
[(x + (8√16) • (x - (8√16))
So, our complete factorization gives us;
5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]
Answer:
Step-by-step explanation:
multiply by 
on each side
add 1 on both sides 
make it equal 0
Factor
answer is 3 and -1
Answer:
$8,430.23
Explanation:
From the statement of the problem:
• The principal amount = $8,000
,
• Interest Rate = 5%
,
• Compounding Period = 12 (Monthly)
The compound interest formula is given as:
Using the compound period formula, we first, calculate the amount in her account at the end of 1 year.
This means that the interest she made during the first year is:
Next, calculate the amount in her account at the end of the second year.
Since she paid back all the interest she made during the first year, the amount Diana was left with is:
Diana was left with $8,430.23.
(4x³-5x²-2x+11)/(x+1)
[(x+1)(4x²-9x+7)]/(x+1) + 4/(x+1)
4x²-9x+7 + 4/(x+1)
Farfalla produces 2,400 kites every year.
The number of factories Farfalla owns around the globe = 3;
The number of kites produced by original factory every year = 600;
The number of kites produced by each of other 2 factories every year = 900;
Then the total kites produced by both other factories will be = 2 × 900 = 1800;
Now, the number of kites Farfalla produces every year is = 600 + 1800 = 2400;
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