How do I do I simplify these?<br> (x-4)^3

andreev551 [17]

Use the site called Desmos, it's a graphing calculator and should help you in all the ways you need. It isn't complex. Just put that equation in a box and it graphs it for you.

4 0

3 years ago

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Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

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

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

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

We expand the parenthesis on the right hand side to get,

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

We expand again to obtain,

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

Let us group the cubed terms on the right hand side to get,

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

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

We make the cubed terms the subject,

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

We factor to get,

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

We expand the bracket on the left hand side to get,

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

We finally simplify to get,

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

5 0

2 years ago

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Find the composite area of the polygon below:

VashaNatasha [74]

Answer:

5 x 5 = 25

4 x 2 = 8

25 + 8 = 33 cm^2

7 0

2 years ago

A circus audience sits in rows around the performing ring. There are 9 seats in each row. How many rows will need to be set up i

DENIUS [597]

Answer:

57 rows

Step-by-step explanation:

Since each row will have a total of 9 seats, then we would simply need to divide the total number of individuals that will attend the show by 9 in order to calculate the number of rows that need to be set up around the performing ring.

513 / 9 = 57 rows

Therefore, we can see that we would need a total of 57 rows of 9 chairs each in order for there to be enough chairs to seat 513 people.

5 0

3 years ago

4 ounce bottle of medicine contains 20 doses how many doses are in a 13 ounce of all of the same medicine

NNADVOKAT [17]

$\bf \begin{array}{ccllll}
ounces&doses\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
4&20\\
13&x
\end{array}\implies \cfrac{4}{13}=\cfrac{20}{x}$

solve for "x"

3 0

3 years ago

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How do I do I simplify these? (x-4)^3