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iVinArrow [24]
3 years ago
13

What is the factored form of x^3 -1

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

The factored form of x^3 -1 will be:

x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)

Step-by-step explanation:

Given the expression

x^3-1

Rewrite 1 as 1³

=x^3-1^3

\mathrm{Apply\:Difference\:of\:Cubes\:Formula:\:}x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)

x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)

            =\left(x-1\right)\left(x^2+x+1\right)

Thus, the factored form of x^3 -1 will be:

x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)

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Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
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Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
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x=216/300=0.72 or 72%
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10000-7200=2800 were invested at 9%

method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
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= 18 : 7
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3 years ago
Find the missing angle or find X?
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2 years ago
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