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mrs_skeptik [129]
3 years ago
9

All algebraic formula with proof its urgent do for brainlist

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Here is a list of Algebraic formulas –

a2 – b2 = (a – b)(a + b)

(a+b)2 = a2 + 2ab + b2

a2 + b2 = (a – b)2 + 2ab

(a – b)2 = a2 – 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc

(a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc

(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)

(a – b)3 = a3 – 3a2b + 3ab2 – b3

a3 – b3 = (a – b)(a2 + ab + b2)

a3 + b3 = (a + b)(a2 – ab + b2)

(a + b)3 = a3 + 3a2b + 3ab2 + b3

(a – b)3 = a3 – 3a2b + 3ab2 – b3

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)

(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)

a4 – b4 = (a – b)(a + b)(a2 + b2)

a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

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FG ∥ CB, A ∈ FG, D ∈ AB, E ∈ AC
andrey2020 [161]

Answer:

The value of x is 31^{\circ}.

Step-by-step explanation:

Please look at the figure attached to get more clear solution.

We have given:

FG||CB

And the line that cut the parallel line is transversal so, here BA is transversal

And alternate interior angles on transverse line are equal

So, ∠1=∠4

And ∠4=28^{\circ}

Hence,  ∠1=∠4=28^{\circ}

And On FG the sum of angles will be 180^{\circ}

∠3+∠2+∠1=180^{\circ}

90^{\circ}+∠2+28^{\circ}=180^{\circ}

Hence, ∠2=62^{\circ}

Now, we know that the sum of interior angles is equal to the exterior angle:

Therefore, ∠2+∠5=∠6+∠7

62^{\circ}+3x=x+4x

On simplification we get:

2x=62^{\circ}

x=31^{\circ}

Hence, the value of x is 31^{\circ}.

3 0
3 years ago
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
Allisa [31]

Answer:

-3/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.

8 0
3 years ago
If you’re good with geometry can you help me?
Paladinen [302]

Answer:

a: AB is perpendicular to CD

b: AM is equal in length to BM

4 0
3 years ago
Line passing through (2,5) and the m= -5/6
kiruha [24]

Answer:

y - 5 = (-5/6)(x - 2)

y - 5 = (-5/6)x + 10/6

y - 30/6 = (-5/6)x + 10/6

y = (-5/6)x + 20/3

Step-by-step explanation:

5 0
3 years ago
What’s the correct answer for this?
earnstyle [38]

Answer:

6

Explanation:

According to secant-secant theorem,

(PB)(PA)=(PD)(PC)

(7)(12)=(PD)(14)

NOW

84/14 = PD

PD = 6

4 0
3 years ago
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