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katovenus [111]
3 years ago
15

Simplify (25x^2-14xy+4)-(7x^2-9y)+(2xy+7)

Mathematics
1 answer:
givi [52]3 years ago
5 0
First distribute the negative to the second equation which would give you:

25x^2 - 14xy + 4 -7x^2 + 9y + 2xy + 7

Since addition is commutative. you can now just add like terms.

18x^2 - 12xy + 9y + 11
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I'm confused about how to find x.
NikAS [45]
Hi! so you would find x by adding the corners up to 180 degrees.

steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12
7 0
3 years ago
What is the unit rate for meters per second if a car travels 480 meters in 24 seconds?
Yanka [14]
20 meters per second
8 0
3 years ago
What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +
Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

Using the binomial expansion theorem

(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

m⁵ = (2x)⁵

∴ m = 2x

Also,

5m⁴n = 80x⁴y

Divide both sides by 5, to get

m⁴n = 16x⁴y

Put m = 2x into the equation

(2x)⁴n = 16x⁴y

16x⁴n = 16x⁴y

∴ n = y

Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵  is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

#SPJ1

8 0
2 years ago
(8.9× 10^4)(4× 10^8)<br> (SCIENTIFIC NOTATION)
Annette [7]
This is equal to:

(8.9*4)(10^4*10^8)

pertinent rule:  (a^b)(a^c)=a^(b+c)

(8.9*4)(10^12)

35.6X10^12

3.56X10^13  (and if we kept only significant figures....)

3.6X10^13
5 0
3 years ago
Read 2 more answers
An African elephant weighs 2 tons. How many pounds are in a herd with 26 elephants? Note: 1 ton = 2,000 pounds​
zubka84 [21]

Answer:

the answer is 104,000

Step-by-step explanation:

because  if an elephant is two tons and 1 ton is 2000 lbs then you know that each elephant is 4000 lbs so then you have to multiply 4000 by 26 wich gives you 104,000

6 0
3 years ago
Read 2 more answers
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