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Natalka [10]
3 years ago
5

Please expand it (c-7d)2

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

c² - 14cd + 49d²

Step-by-step explanation:

Given

(c - 7d)²

= (c - 7d)(c - 7d)

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

c(c - 7d) - 7d(c - 7d) ← distribute both parenthesis

= c² - 7cd - 7cd + 49d² ← collect like terms

= c² - 14cd + 49d²

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2,592+3,385 =3,385 + whar is it
amm1812
Lol... I don't know if this is a joke, but it's basically just restating the precious problem, but switching numbers. So the answer would be 2,592.
7 0
3 years ago
Find the average rate of change, in simplest form,<br> of the function over the interval 3 ≤ x ≤ 5
gavmur [86]
The answer to your question that you’re trying to figure out is [3,5]
3 0
1 year ago
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
2 years ago
sarah used 3/4 pound of blueberries to make 1/2 cup of jam. how many pounds of blueberries would she need to make a cup of jam?
Ksenya-84 [330]

Answer: She needed 1\frac{1}{2}\text{ pounds of blueberries} to make a cup of jam .

Step-by-step explanation:

Since we have given that

Sarah used \frac{3}{4} pound of blueberries to make \frac{1}{2} cup of jam.

As we need to find the number of pounds of blueberries she would need to make a cup of jam.

So, we will use "Unitary Method":

\text{For }\frac{1}{2}\text{ cup of jam},\\\\\text{ she need }\frac{3}{4}\text{ pound of blueberries }\\\\\text{ For 1 cup of jam}.\\\\\text{She need }=\frac{3}{4}\times 2=\frac{3}{2}=1\frac{1}{2}\text{ pounds of blueberries }

Hence, She needed 1\frac{1}{2}\text{ pounds of blueberries} to make a cup of jam .

4 0
3 years ago
Which choice is equivalent to the expression below?
enyata [817]

Answer: B

Step-by-step explanation:

3 0
3 years ago
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