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Serjik [45]
3 years ago
14

Multiply (3x-4y)(3x+4y)

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

You can use (a - b)(a + b) = a² - b²:

(3x-4y)(3x+4y)=(3x)^2-(4y)^2=3^2x^2-4^2y^2=9x^2-16y^2

Other method.

Use distributive property: a(b + c) = ab + ac:

(3x-4y)(3x+4y)=(3x-4y)(3x)+(3x-4y)(4y)\\\\=(3x)(3x)+(-4y)(3x)+(3x)(4y)+(-4y)(4y)\\\\=9x^2\underbrace{-12xy+12xy}_{=0}-16y^2=9x^2-16y^2

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Umnica [9.8K]

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2=-\dfrac{a}{2}\iff a=-4

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y=x^2-4x+b

Now impose the passing through (2,1), i.e. substitute x=2, y=1 and solve for b:

1=4-8+b \iff b=5

5 0
3 years ago
Choose the correct answer.
nydimaria [60]

Answer:

45%

Step-by-step explanation:

6 0
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Divide the following problem by hand (long division).
Genrish500 [490]

Answer:

Quotient = 122.88 and Remainder = 0

Step-by-step explanation:

Given:

Dividend = 3072

Divisor = 25

Please find the complete division in the attachment:

Step 1: when Dividend is 3072 and divisor is 25 we will first multiply divisor by 1 and subtract from first 2 digit of dividend which is 30 we get remainder as 5.

Step 2: Now bring another digit of dividend down so dividend will 57 and divisor is 25 so we will multiply divisor by 2 we get 50 we would subtract from 57 we get remainder as 7.

Step 3: Now bring another digit of divisor down so dividend 72 and divisor is 25 so we will multiply divisor by 2 we get 50 we would subtract from from 72 we get  remainder as 22.

Step 4: now dividend is 22 and divisor is 25 that means dividend is less than divisor so we will add decimal to quotient which adds 0 to dividend we get dividend as 220 and divisor is 25 now multiplying divisor by 8 we get 200 now subtracting it  with 220 we get remainder as 20.

Step 5: Now add 0 to dividend dividend will become 200 and divisor is 25 so we will multiply divisor by 8 we get answer as 200 now subtracting with dividend 200 we get remainder as 0.

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7 0
3 years ago
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Which expression is equivalent to 4m +3m-2(m+1)?
Anika [276]
Remove the parenthesis
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B
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The dividend is a factor of 60. The divisor is a factor of 18. The quotient is a multiple of 3. Use the numbers to find one poss
Anna007 [38]

Answer:

The dividend is 360, divisor is 6 and quotient is 60.

Step-by-step explanation:

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If 360 is divided by 6 we get 60 which is a multiple of 3

and 6 is a factor of 18.

Therefore the dividend is 360 divisor is 6 and quotient is 60.

6 0
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