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LuckyWell [14K]
2 years ago
11

There are 30 seventh-grade students and

Mathematics
1 answer:
Alisiya [41]2 years ago
8 0
The answer is A. 1 to 3
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6. Simplify: i) (a + b)(5a – 3b) + (a – 3b)(a – b) ii) (a – b) (a² + b² + ab) – (a + b) (a² + b²– ab) iii) (b² – 49) (b + 7) + 3
Shkiper50 [21]

Step-by-step explanation:

<h2>i).</h2>

(a + b)(5a – 3b) + (a – 3b)(a – b)

Expand each of the terms separately

That's

(a + b)(5a – 3b) = 5a² - 3ab + 5ab - 3b²

= 5a² + 2ab - 3b²

(a – 3b)(a – b) = a² - ab - 3ab + 3b²

= a² - 4ab + 3b²

<u>Add the terms</u>

That's

5a² + 2ab - 3b² + a² - 4ab + 3b²

<u>Group like terms</u>

5a² + a² + 2ab - 4ab - 3b² + 3b²

We have the answer as

<h2>6a² - 2ab</h2>

<h2>ii)</h2>

(a – b) (a² + b² + ab) – (a + b) (a² + b²– ab)

Expand the terms separately

<u>For (a – b) (a² + b² + ab)</u>

Using the rule

x³ - y³ = (x - y)( x² + xy + y²) expand the expression

So we have

(a – b) (a² + b² + ab) = a³ - b³

<u>For (a + b) (a² + b²– ab)</u>

Using the rule

x³ + y³ = (x + y)( x² - xy + y²) expand the expression

We have

(a + b) (a² + b²– ab) = a³ + b³

Subtract the terms

That's

a³ - b³ - (a³ + b³)

Remove the parenthesis

a³ - b³ - a³ - b³

Group like terms

a³ - a³ - b³ - b³

We have the final answer as

<h2>-2b³</h2>

<h2>iii)</h2>

(b² – 49) (b + 7) + 343

Expand the terms

That's

b³ + 7b² - 49b - 343 + 343

We have the final answer as

<h2>b³ + 7b² - 49b</h2>

Hope this helps you

6 0
3 years ago
Would the answer be 10% or 15% <br><br> Confused
Shtirlitz [24]
I’m pretty sure it would be 15% of not I’m so sorry
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3 years ago
Plot three points on the coordinate plane and label them a,b,c (be sure that all three points do not lie in a straight line) now
tensa zangetsu [6.8K]
It would be three lines and the shape would be a triangle
3 0
2 years ago
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steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a saving account when he rec
Levart [38]
$565+$65= 630

630/30 would be 21

it would take him 21 weeks to pay off his sister and buy the bike
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3 years ago
Properties of rectangles rhombuses and squares worksheet answers.
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Answer:

sorry i cant find anything for u

Step-by-step explanation:

7 0
2 years ago
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