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expeople1 [14]
3 years ago
13

Expand and simplify {3x+2}{x-1}

Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

{3x+2}{x-1} = 3x²-x-2

Step-by-step explanation:

The given expression is :

{3x+2}{x-1}

We can solve it as follows :

{3x+2}{x-1} = 3x(x)+3x(-1) +2(x) +2(-1)

= 3x²-3x+2x-2

= 3x²-x-2

So, the expand form of the given expression is 3x²-x-2.

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If sin ∅ = a/b then prove that (sec ∅ + tan ∅) = √b+a/b-a​
nasty-shy [4]

Given that

Sin θ = a/b

LHS = Sec θ + Tan θ

⇛(1/Cos θ) + (Sin θ/ Cos θ)

⇛(1+Sin θ)/Cos θ

We know that

Sin² A + Cos² A = 1

⇛Cos² A = 1-Sin² A

⇛Cos A =√(1-Sin² A)

LHS = (1+Sin θ)/√(1- Sin² θ)

⇛ LHS = {1+(a/b)}/√{1-(a/b)²}

= {(b+a)/b}/√(1-(a²/b²))

= {(b+a)/b}/√{(b²-a²)/b²}

= {(b+a)/b}/√{(b²-a²)/b}

= (b+a)/√(b²-a²)

= √{(b+a)(b+a)/(b²-a²)}

⇛ LHS = √{(b+a)(b+a)/(b+a)(b-a)}

Now, (x+y)(x-y) = x²-y²

Where ,

  • x = b and
  • y = a

On cancelling (b+a) then

⇛LHS = √{(b+a)/(b-a)}

⇛RHS

⇛ LHS = RHS

Sec θ + Tan θ = √{(b+a)/(b-a)}

Hence, Proved.

<u>Answer</u><u>:</u> If Sinθ=a/b then Secθ+Tanθ=√{(b+a)/(b-a)}.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u><u>-</u> i) sin^2 A sec^2 B + tan^2 B cos^2 A = sin^2A + tan²B..

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Sec x -tan x sin x =1/secx Help me prove it..

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7 0
3 years ago
The price of 2 bananas are $1.00. How much would 7 bananas cost ?
vlada-n [284]

Answer:

3.50

Step-by-step explanation:

each banana would cost 50 cent

4 0
3 years ago
Read 2 more answers
Please help the answer is not 59 o think
Diano4ka-milaya [45]

Answer:

the answer is 59

Step-by-step explanation:

8 0
3 years ago
I need someone to explain to me how to solve this, because I need to show my work.
masha68 [24]
So to find the answer you have to know what the mixture is, what the trend is,

on day one he used 4 cans of blue and 6 cans of yellow

day two, 6 blue and 9 yellow

both are divisible by 2 and 3 respectively, additionally when you divide the number of blue cans Marc used by the number of yellow cans each day you get a sum of .66

those are the trends

so therefore day three would have the same trend.


Now on day three Marc will have 4 cans of blue paint and 5 cans of yellow paint remaining, what I did here to find the answer was divide numbers under 4 and 5 until I got a division problem that equaled .66

my answer was 2 blue cans and 3 yellow.

The answer is that on day three the highest number of cans that Marc can mix to get his favorite shade of green is 2 blue and 3 yellow

4 0
3 years ago
One book has 84 pages. Another book has 210 pages. Which is the greatest common factor of the number of pages in the two books?
Usimov [2.4K]

42

42x2 is 84 and 42x5 is 210

5 0
3 years ago
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