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2 years ago

Fully factorise X^3 - 100

Mathematics

1 answer:

PIT_PIT [208]2 years ago

5 0

Answer:

(x-10)(x²+10x+100)

Step-by-step explanation:

Given the expression

X^3 - 100

This ca also be expressed as;

X^3 - 100 = X³ - 10³

a³-b³ = (a-b)(a²+b²+ab)

Substitute a = x and b = 10

X³ - 10³ = (x-10)(x²+10²+10x)

X³ - 10³ = (x-10)(x²+10x+100)

Hence the factored form is (x-10)(x²+10x+100)

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inysia [295]

Answer:

Age of Alice=25 years

Age of Jane=20 years

Step-by-step explanation:

We are given that the age of Jane is 80 % of the age Alice.

We have to find the age of Jane and Alice.

Let x be the age of Alice

According to question

Age of Jane=80% of Alice=80% of x= $\frac{80}{100}\times x=\frac{4x}{5}$

$x+\frac{4x}{5}=45$

$\frac{5x+4x}{5}=45$

$\frac{9x}{5}=45$

$x=\frac{45\times 5}{9}=25$

Age of Alice=25 years

Age of Jane= $\frac{4}{5}\times 25=20 years$

Age of Jane=20 years

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Learn more about logarithms here: brainly.com/question/12049968

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Step-by-step explanation:

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