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2 years ago

What is the product of 2x2 – 3xy + y2 and 2x – 4y?

Mathematics

1 answer:

dybincka [34]2 years ago

8 0

Answer:

C. 4x^3 - 14x^2y + 14xy^2 - 4y^3

Step-by-step explanation:

Given:

Product of 2x^2 – 3xy + y^2 and 2x – 4y

Product means multiplication

(2x^2 – 3xy + y^2) (2x – 4y)

Open the bracket

= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3

Simplify the like terms

= 4x^3 - 14x^2y + 14xy^2 - 4y^3

The answer is

C. 4x^3 - 14x^2y + 14xy^2 - 4y^3

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The staff at a company went from 40 to 29 employees. what is the percent decrease in staff

topjm [15]

Number of employees outside of company=40-29=11

we can calculate the percent decrease in staff by the rule of 3

40 employees-----------------100%
11 employees---------------- x

x=(11 employees*100%) / 40 employees=27.5%

The percent decrease in staff was: 27.5%

5 0

2 years ago

Emerson drives 135 miles at 60 miles per hour to get to the train station. He waits 20 minutes for a train. Then he travels 350

ivolga24 [154]

Answer: 4.4

Step-by-step explanation:

3 0

2 years ago

Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the

nikitadnepr [17]

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.

How much space does Lacey's mom cover in frosting?

My answer:

As we know that the surface area of the the cake is made up of rectangles. The formula for find the area of a rectangle is A = lw

The area of rectangle ABCD: 4*2 = 8

The area of rectangle ADFE : 12*2 = 24

The area of rectangle TJVS : 4*2 = 8

The area of rectangle ESFV :9*2 = 18

The area of rectangle HTJG: 5*2 = 10

The area of rectangle CBHG: 2*8 = 16

The area of CDEVGJ = ABHTFS

= 4*12 + 4*5

= 68

So the total area is: 68 +68 +16+10+18+8+24+8 = 220

Hope it will find you well

8 0

2 years ago

8 miles is approximately equal to 6 km how many km are equal to 28 miles ? How many miles are equal to 42km

Snowcat [4.5K]

28/8 = 3.5

3.5*6 = 21 km

42/6=7

7*8 = 56 miles

7 0

2 years ago

What is the binomial expansion of (x + 2)4? x4 + 4x3 + 6x2 + 4x + 1 8x3 + 24x2 + 32x x4 + 8x3 + 24x2 + 32x + 16 2x4 + 8x3 + 12x2

Margaret [11]

Answer-

$\boxed{\boxed{(x+2)^4=x^4+8x^3+24x^2+32x+16}}$

Solution-

Given expression is $(x+2)^4$

Applying Binomial Theorem

$\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

Here,

a = x, b = 2 and n = 4

So,

$\left(x+2\right)^4=\sum _{i=0}^4\binom{4}{i}x^{\left(4-i\right)}\cdot \:2^i$

Expanding the summation

$=\dfrac{4!}{0!\left(4-0\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(4-1\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(4-2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(4-3\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(4-4\right)!}x^0\cdot \:2^4$

$=\dfrac{4!}{0!\left(4\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(3\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(1\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(0\right)!}x^0\cdot \:2^4$

$=1\cdot x^4\cdot \:1+4\cdot x^3\cdot \:2+6x^2\cdot \:4+4\cdot x\cdot \:8+1\cdot 1\cdot \:16$

$=x^4+8x^3+24x^2+32x+16$

4 0

2 years ago

Read 2 more answers