All categories

3 years ago

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

You might be interested in

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, 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 sum and difference of cubes, 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 perfect cube numbers (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 sum and difference of cubes 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 sum of cubes.

Sum of cubes

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

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