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gregori [183]
2 years ago
11

Multiplying polynomials: simplify (4a+2)(6a^2-a+2)

Mathematics
1 answer:
arlik [135]2 years ago
5 0

Answer:

24a³ - 16a² + 6a + 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Expanding by FOIL (First Outside Inside Last)

Step-by-step explanation:

<u>Step 1: Define</u>

(4a + 2)(6a² - a + 2)

<u>Step 2: Expand</u>

  1. Expand:                              24a³ - 4a² + 8a - 12a² - 2a + 4
  2. Combine like terms (a²):    24a³ - 16a² + 8a - 2a + 4
  3. Combine like terms (a):     24a³ - 16a² + 6a + 4
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eduard
The answer is 1561 yuans and 27 jiao.
6 0
3 years ago
four cards numbered 1, 5, 8, and 9 are placed in a bag. A card is drawn at random and then replaced. Then a card is drawn at ran
Vadim26 [7]

Answer:

1/16

Step-by-step explanation:

Four cards numbered (1, 5, 8,9)

Given the sample space S= 4

1.The first selection with replacement

Probability of picking a 9= 1/4

2. Second selection, probability of picking a 9= 1/4

Hence the probability that both cards drawn have the number 9.

Is = (1/4)*(1/4)= 1/16

6 0
3 years ago
The ordered pair (a,b) satisfies the inequality y&gt;x+10. Which statement is true?
Morgarella [4.7K]

Answer:

b-a>10\\\\Difference\ of\ b\ and\ a\ is\ greater\ than\ 10.

Step-by-step explanation:

Ordered Pair: In an ordered pair (p,q) first value that is p represents x-value and second value(q) represents y-value.

Given\ inequality\ y>x+10\\\\Ordered\ pair (a,b)\ satisfies\ the\ inequality\\\\Hence\ x=a,\ y=b\\\\Substitute\ these\ values\ in\ the\ inequality.\\\\b>a+10\\\\\Rightarrow b-a>10\\\\That\ means\ difference\ of\ b\ and\ a\ is\ greater\ than\ 10.

5 0
3 years ago
Read 2 more answers
9(-6X-2) -7 (-10X-2)
Maksim231197 [3]
9(-6x-2)-7(-10x-2)
Simplify, by distributing the 9 and the -7
-54x-18+70x+14
Combine like terms
16x-4 is the simplified expression

Hope this helped!
3 0
3 years ago
Find the 72nd term of the arithmetic sequence -27, -11, 5, ...
MAXImum [283]

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

8 0
2 years ago
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