Write the difference in factored form. (24x4 - 15x2 + 6x) - (10x4 + 5x2 - 4x)

1 answer:

8 0

Answer:

The factored difference is: $2x(7x^3 - 10x + 5)$

Step-by-step explanation:

Difference in non factored form:

To find the difference in non-factored form, we subtract the common terms. So

$24x^4 - 15x^2 + 6x - (10x^4 + 5x^2 - 4x) = 24x^4 - 10x^4 - 15x^2 - 5x^2 + 6x + 4x = 14x^4 - 20x^2 + 10x$

Greatest common factor:

Of the exponents: Between $x^4, x^2$ and $x$ , it is the one with the lowest exponent, so x.

Between 14, 20 and 10:

14 - 20 - 10|2

7 - 10 - 5

So 2

The gcf is 2x, which means that the factored expression is:

$2x(\frac{14x^4}{2x} - \frac{20x^2}{2x} + \frac{10x}{2x}) = 2x(7x^3 - 10x + 5)$

The factored difference is: $2x(7x^3 - 10x + 5)$

You might be interested in

Gekata [30.6K]

Answer: (x3.19+y1.20 + z1.20) x 1.06

Step-by-step explanation:

Hi, to answer this question we have to write an expression.

Four-packs of permanent markers in assorted colors for $3.19 per pack.

3.19 x (x number of packs purchased)

spiral-bound notebooks, whether wide-ruled or college-ruled, sell for $1.20 each

1.20 y + 1.20 z (y wide-ruled notebooks, and z college-ruled notebooks)

The store charges a 6% sales tax on Cleo’s total bill, so we have to multiply the expression by 1+ 0.06 ( 1+ tax percentage in decimal form)

(x3.19+y1.20 + z1.20) x 1.06

8 0

2 years ago

Lelu [443]

Answer:

$\frac{n^{2}}{2a}$

Step-by-step explanation:

Just split it up first $\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}$
Then 9 divided by 18 can be simplified into the fraction 1/2
What can go into $a$ and $a^2$ ? a itself right, so if you divide a by a you get 1, if you divide $a^2$ by a you get a
Same as the a fraction, if you divide $n^3$ by n you get $n^2$
$\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}=\frac{1}{2}\times \frac{1}{a} \times\frac{n^2}{1}=\frac{n^{2}}{2a}$