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3 years ago

Factor x2+4x+3.

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

$x^2 +4x +3$

Can be represented as the product of the following,

$(x+3)(x+1)$

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

$(x+3)(x+1)\\$

Distribute,

$(x)(x)+(1)(x)+(3)(x)+(3)(1)$

Simplify,

$x^2 +x +3x + 3\\$

$x^2 +4x +3$

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Please ASAP help please !!! Help me anyone

worty [1.4K]

difference of squares means that both the terms are square terms. (also there must be a - symbol)

for example

y^2 - 4

square root of y^2 is y

square root of 4 is +2 as well as -2

so you would factorise it like this:

(y+2)(y-2)

1. y^4 has a square root of y^2 as y^2 × y^2 is y^4.

however, -2 doesnt have a whole number square root so it is not a difference of squares.

2. 25 has a square root of 5. m^2 has a square root of m. n^4 has a square root of n^2. so this 25m^2n^4 is a square term.

1 has a square root of +1 and -1.

therefore, this one is a difference of squares. (5mn^2 +1) (5mn^2 -1)

3. p^8 has a square root of p^4. q^4 has a square root of +q^2 and -q^2)

so it is a difference of squares. (p^4+q^2)(p^4 -q^2)

4. 16x^2 is a square term as irs square root is 4x.

however, 24 is not a square term.

therefore, it is not a difference of squares.

6 0

3 years ago

Please help! 25 points

Zinaida [17]

Answer: Look at explanation

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

27 = 3 x 3 x 3

16 = 2 x 2 x 2 x 2

No as 32 can be broken down to 8 and 4 and not just pime and not prime

7 0

2 years ago

Find the slope of the line passing through the two points. (2.1, 3.8), (3.1, 7.6)

bixtya [17]

Answer:

3.8

Step-by-step explanation:

Slope formula- m = y2 - y1

x2 - x1

x1, y1

2.1, 3.8

7.6 - 3.8

3.1 - 2.1 = 3.8

x2,y2

3.1, 7.6

3 0

2 years ago

5/8 divided by 6 5/6 in fractional form. ➗✏️❓⁉️

ser-zykov [4K]

Answer:

15/164

Step-by-step explanation:

5/8 ÷ 6 5/6 = 15 / 164

3 0

3 years ago

Read 2 more answers

Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia

Sav [38]

Answer:

10.12 $m^{3}$

Step-by-step explanation:

Given:

0.07 cm thick = 0.007m and it is dr (the change in radius)

As we know that, the volume of a hemispherical dome with diameter 48 m is:

V = $\frac{2}{3}$ π $r^{3}$

Take the derivative of V we have:

$\frac{dV}{dr}$ = 2π $r^{2}$

<=> dV = 2π $r^{2}$ *dr

<=> dV = 2π* $48^{2}$ *0.0007 = 10.12 $m^{3}$

Hope it will find you well.

6 0

3 years ago

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