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3 years ago

7/8 (-32-48x)+36=2/3 (-33x-18)-10x

Mathematics

1 answer:

aleksley [76]3 years ago

7 0

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = 2

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How do i solve this question, please help and pls explain a³x - x⁴ + a²x² - ax³

taurus [48]

Answer:

$\huge\boxed{x(a-x)(a+x)^2}$

Step-by-step explanation:

In order to factor this expression, our goal is to write the expression in a way that we can factor out a term.

With the expression $a^3 x - x^4 + a^2 x^2 - ax^3$ , we need to note an exponent rule.

$a^{b+c} = a^b a^c$

We can use this to get each term of this expression to have a term of $x$ so we can factor it out.

Let's look at each term and get it so that we can factor out an x term.

$a^3 x = x a^3$ (Commutative Property)
$x^4 = xx^3$ (Since $x^3 \cdot x^1 = x^4$ )
$a^2 x^2 = a^2 \cdot xx$ (Since $x^2 = x \cdot x$ )
$ax^3 = a \cdot xx^2$ (Since $x^3 = x^2 \cdot x^1$

With this, our equation becomes $(xa^3) - (xx^3) + (xxa^2) - (xx^2a)$ .

We now can factor out the common term x.

$x(a^3 - x^3 + xa^2 - x^2a)$

From here, we can now factor $a^3 - x^3 + xa^2 - x^2 a$

Rearrange the equation: $a^3 +xa^2 - x^3 - x^2a$
Factor out $a^2$ from $a^3 + xa^2$ which comes out to be $a^2(a+x)$
Factor out $-x^2$ from $-x^3 - x^2a$ which comes out to be $-x^2(x+a)$
We now have $a^2(a+x) - x^2(x+a)$
Factor out the common term, $(a+x)$ , which comes out to be $(a+x)(a^2 - x^2)$
Factor $-x^2+a^2$ into $(a+x)(a-x)$

We now have $(a+x) (a+x) (a-x)$ , which is simplified to $(a-x)(a+x)^2$

<h2>Finalizing:</h2>

Since we have just factored $a^3 - x^3 + xa^2 - x^2 a$ and factored x out of $a^3 x - x^4 + a^2 x^2 - ax^3$ in the first couple of steps, we need to have it as a factorization of x.

$x(a-x)(a+x)^2$

Hope this helped!

7 0

3 years ago

Which model shows the problem 1 ÷ 1 6 ? A pie chart with 6 shaded parts. A solid circle. 3 ovals each containing 2 circles. 2 ov

nadya68 [22]

Answer:

i think its the one about pie charts, but im not sure.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

How can 3 tents be 40 dollars

nasty-shy [4]

I'm assuming this is a math question and all the tents equal the same thing, so to find the price for one tent, we would divide 40/3

Each tent is about $13.33

5 0

3 years ago

Help i need Help im struggling

HACTEHA [7]

Answer:

c.2,400 I think is c. nose you

Step-by-step explanation:

╮(╯_╰)╭

8 0

3 years ago

Alice is playing checkers against a computer and has won 8 games out of the 12 she’s played so far

den301095 [7]

I do not know what kind of answer you may want but here is a few you might be asking for

(1). Every 12 games Alice wins 8 games and looses 4. ( 8/12 )

(2). Alice wins 2/3 games against a computer. ( 8/12 )

(3). Alice wins 66% of games she plays against a computer.

There you go.

3 0

3 years ago