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inn [45]
3 years ago
8

Find the difference of(ab+8a+1)-(-6ab+4)

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0
Hey there!

When finding the difference of expressions like these, there's a few things you should keep in mind. 

1. When finding the difference of two polynomials, multiply the polynomial that implied to be "negative" by –1 to expand the problem and make it easier to solve. 

2. You combine terms based on their unknown terms, like x, y, x², ab, etc. You cannot combine the terms x and x², but you can combine the terms 6b and 8b by adding them. 

3. You can rearrange your terms however you see fit. If a polynomial is implied as "positive", you can multiply that entire polynomial by +1 to get rid of the parentheses. 

With all that in mind, you can go ahead and solve for your difference, like so:

(ab+8a+1)-(-6ab+4)

(ab+8a+1) (-1(-6ab+4))

(ab+8a+1) + (6ab-4)

ab+6ab+8a+1-4

7ab+8a-3

7ab+8a-3 will be your difference. 

Hope this helped you out! :-)
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2 years ago
'Ciumane ananen<br> 32.50t + 5 = 28.75t + 20
gtnhenbr [62]

Answer:

The answer is 0.25

Step-by-step explanation:

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(3)when we subtract 32.50 and 28.75 we get a value of 3.75

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3 years ago
It took sandy two hours to jog 13 miles. She ran 7 1/2 miles in one hour. How far did she run during the second hour
Zarrin [17]

Sandy ran 5 ½ during the second hour.

  • Total amount Sandy used to jog for 2 hours = 13 miles
  • Amount Sandy used to run in the 1st hour = 7 ½
<h2>Further Explanation</h2>

Therefore the amount Sandy used to run in the 2nd hour = Total amount Sandy used to jog for 2 hours – Amount Sandy used to run in the 1st hour

= 13 – 7 ½ (and can be expressed as 7 + ½)

= 13 – (7 + ½)

= 13 – 7 – ½

= 6 – ½ (otherwise expressed as 6/1 – 1/2)

= (6 x 2) – (1 x 1) / 2

= (12) – (1) / 2

= 12 – 1 / 2

= 11/2

= 5 ½

Hence, Sandy ran 5 ½ miles during the second hour.

Based on the above expression, it is observed that there is an element of fractions in the math problem. Also, BODMAS was clearly used to derive the solution to the given question.

Recall, 13 – (7 + ½). The mathematical signs, (–) and (+) were multiplied; one of mathematics rule states that – x + = –; thus 13 – 7 – ½

Notably, fractions deal with denominators and numerators; and in these questions, with the help of BODMAS, they (6/1 – 1/2) were used to factor each other out to derive the final answer 5 ½.

LEARN MORE:

  • Numbers: brainly.com/question/2906770
  • mixed numbers brainly.com/question/12853142
  • fraction brainly.com/question/6201432

KEYWORDS:

  • bodmas
  • fractions
  • mathematical sign
  • denominators
  • numerators
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