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sveta [45]
3 years ago
5

Fully factorise: x³+3x²-6x-8​

Mathematics
2 answers:
garri49 [273]3 years ago
4 0
I’m not sure if this is correct

Mnenie [13.5K]3 years ago
3 0

Answer:

(x-2) (x+1) (x+4)

Step-by-step explanation:

x^3+3x^2-6x-8

Rearranging the terms,

(x^3 - 8) + (3x^2 - 6x)

a^3 - b^3 = (a-b) (a^2 + ab + b^2)

(x^3 - 8) = (x^3 - 2^3) = (x-2) (x^2 + 2x + 4)

(3x^2 - 6x) = 3x(x-2)

So, x^3 + 3x^2 -6x -8

= (x-2) (x^2 + 2x +4) + 3x(x-2)

(x-2) is the common factor,

= (x-2) ( x^2 +2x+4 + 3x)

= (x-2) (x^2 + 5x + 4)

= (x-2) (x^2 + 4x + x + 4)

= (x-2) (x(x+4) +1(x+4))

= (x-2) (x+1) (x+4)

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Solve. 4x – 2(–2x – 3) = 10x A. –8 B. 3 C. no solution D. all real numbers
irinina [24]
The answer is b x= 3

5 0
3 years ago
Find the infinite geometric sum of 80 + 10 +1.25 + ... to 5 decimal places past the decimal point.
SIZIF [17.4K]

first term.

a= 80

second term. a2=10

so Common ratio r=a2/a =10/80=1/8=0.125

checking for the validity of common ratio.

a2×r=10×1/8=10×0.125=1.25 =a3= Third term.

Hence it is true.

Now 4th Term =1.25/8=0.15625

It can be observed that 4TH term Has digit that is 5 places past the decimal point.

Hence, 0.15625 is the terminating number as per the question.

So the required sum is.

S=a+a2+a3+a4

->S=80+10+1.25+0.15625

->S= 91.40625

Hope it helps...

Regards,

Leukonov/Olegion.

7 0
4 years ago
Find the product 3x ( 5x +8y)
notka56 [123]

Answer:

x = 3.5y

Step-by-step explanation:

Simplifying

3x + 8y + -5x + -1y = 0

Reorder the terms:

3x + -5x + 8y + -1y = 0

Combine like terms: 3x + -5x = -2x

-2x + 8y + -1y = 0

Combine like terms: 8y + -1y = 7y

-2x + 7y = 0

Solving

-2x + 7y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.

-2x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0

-2x + 0 = 0 + -7y

-2x = 0 + -7y

Remove the zero:

-2x = -7y

Divide each side by '-2'.

x = 3.5y

Simplifying

x = 3.5y

3 0
3 years ago
I need the answers from problems one through six
My name is Ann [436]
1) 26 = 8+v
    26 - 8 = v

2) -15 + n = - 9
    n = - 9 + 15
    n = 15 - 9
    n = ?

3) ?

4) -104 = 8x 
    -104/8 = x

5) 6 = b/18
    6 x 18 = b
4 0
3 years ago
If two sides of a triangle measure 15 cm and 27cm check all possible values for the third side​
zavuch27 [327]

Answer:

Let AB,BC and CA are the sides of triangle ABC, Given that, Let AB=15cm,BC=27cm and Third side CA=? Then, We know that

CA=BC−AB. CA=15−27.

all in all: CA=12cm

7 0
3 years ago
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