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docker41 [41]
3 years ago
9

Simplify the expression given below x^2 + x-2

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
X^2+x-2
Pls mark brainliest
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What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
Henry's water bottle has a capacity of 1 liter. What is the capacity of Henry's water bottle in milliliters?
kondor19780726 [428]
1 liter is equal to 1000 milliliters

4 0
4 years ago
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Can someone help me with this???
Varvara68 [4.7K]

Answer:

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4 0
3 years ago
A person of height 1.6m up to the eye level is standing at a point 2m away from the bank of the river and found an angle of elev
natima [27]

Step-by-step explanation:

tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.

Therefore 1.6m / (2m + x) = 1/√3

By cross multiplication, 1.6√3 = 2 + x.

Hence, x ≈ 0.77m.

5 0
3 years ago
Plz hlp Translate the following phrase to an expression: the difference between twenty and twice a number.
Mazyrski [523]
20 - 2n

Difference means taking away
Two times a number means whatever n is it is multiples by 2 and subtracted from 20
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3 years ago
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