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2 years ago

5

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a

fter it has been fully simplified?

2 answers:

3241004551 [841]2 years ago

6 0

Answer:

$x^3+3x^2+5x+4$

Step-by-step explanation:

We are given that product of binomial and trinomial is

$x^3+3x^2-x+2\times 2+6x-2$

We have to find an expression equivalent to given product after it has been simplified.

$x^3+3x^2-x+2\times 2+6x-2$

Rearrange the terms in the given expression

$x^3+3x^2-x+6x+2\times 2$

Combine like terms

$x^3+3x^2+5x+2\times 2$

$x^3+3x^2+5x+4$

valkas [14]2 years ago

5 0

Answer:

$x^3+3x^2+5x+2$

Step-by-step explanation:

The product of a binomial and a trinomial is

$x^3+3x^2-x+2 \times 2 +6x-2$

we have to simplify that

$x^3+3x^2-x+4+6x-2$

bringing the like terms together we get

$x^3+3x^2-x+6x+4-2$

$-x+6x = 5x$

$-2+4 = 2$

hence our expression becomes

$x^3+3x^2-x+6x+4-2=x^3+3x^2+5x+2$

You might be interested in

Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

3 0

2 years ago

Candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam

kolezko [41]

Answer:

33

Step-by-step explanation:

16-5=11

11×3=33

so yeah

3 0

2 years ago

Read 2 more answers

Sandy charges each family that she babysits for a flat fee of $10 for the night and $5 extra per

Pani-rosa [81]

30 = 5x + 10 so x = 4

5 0

3 years ago

PPPLLLLEEEAASSSEEEE HHHEEEELLLLPPPPP!!!!!!!

Yuliya22 [10]

Answer:

(3, 3) × 13 = (39, 39)

(0, 3) × 13 = (0, 39)

(6, -6) × 13 = (78, -78)

(9, 6) × 13 = (117, 78)

Step-by-step explanation:

Because the center of dilation is at (0, 0), or the origin, we can just multiply the x and y values of each point by the scale factor of 13.

(3, 3) × 13 = (39, 39)

(0, 3) × 13 = (0, 39)

(6, -6) × 13 = (78, -78)

(9, 6) × 13 = (117, 78)

Read more on Brainly.com - brainly.com/question/11445104#readmore

4 0

3 years ago

Ahhhhhhhhhhhhhhhhhhhhhhh

Bess [88]

Answer:

Its 9

Step-by-step explanation:

I did this in 5th grade... All you gotta do is count and there's 4 in the bottom aka 2 rows of 4 and there's 1 block on the top its 9

4+4+1=9

4+4=8

Add a 1 etc.

5 0

2 years ago