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Simplifying Algebraic Expressions Observe Issues



To simplify algebraic expression, first we have now to be clear with like and in contrast to phrases.

Like Phrases :

Like phrases are phrases which have the identical variables with the identical exponents.

Phrases that aren’t like phrases in unknown as not like phrases.

Allow us to assume

Day 1

Day 2

a = 1 kg of potato

b1 kg of onion

c = 1 kg of tomatoes

d = 1 kg of girl fingers

3a

7b

8c

0d

4a

0b

2c

3d

(3a + 4a) + (7b + 0b) + (8c + 2c) + (0d + 3d)

=  7a 7b + 10c + 3d

So, 7 kg of potatoes, 7 kg of onion, 10 kg of tomatoes and three kg of girl fingers.

Simplify the next expression :

Downside 1 :

 3x2 – x + 6 + x2 + 3x

Answer :

=  3x2 – x + 6 + x2
+ 3x

By grouping the like phrases, we get

(3x2 + x2) + (3x – x) + 6

By combining the like phrases, we get

=  4x2
+ 2x + 6

Downside 2 :

 2a – 3b + 4 – a + 1

Answer :

=  2a – 3b + 4 – a + 1

By grouping the like phrases, we get

(2a – a)
– 3b +
(4 + 1)

By combining the like phrases, we get

=  a –
3b + 5

Downside 3 :

2c – c2
+ 3c + 1

Answer :

=  2c – c2 + 3c + 1

By grouping the like phrases, we get

(2c + 3c)
– c2 + 1

By combining the like phrases, we get

=  -c2
+ 5c + 1

Downside 4 :

2c + cd – 4c + dc
– 4d

Answer :

=  2c + cd – 4c + dc – 4d

(2c – 4c)
+
(cd + dc) – 4d

=  2cd
– 2c – 4d

Downside 6 :

5x – 10y + 6x

Answer :

=  5x – 10y + 6x

(5x + 6x)
– 10y

=  11x
– 10y

Downside 7 :

5 – m + 5r – m

Answer :

=  5 – m + 5r – m

=  5r -m -m + 5

=  5r –
2m + 5

Downside 8 :

6ac + 6a –
4c 

Answer :

=  6ac + 6a – 4c

There isn’t any like phrases.

Downside 9 :

7e – 8f – 2e + 5f

Answer :

=  7e – 8f – 2e + 5f

(7e – 2e) + (5f-8f)

=  5e –
3f

Downside 10 :

8x · 5

Answer :

=  8x · 5

=  40x

Downside 11 :

(a – c) x 7

Answer :

=  (a – c) · 7

=  7a –
7c

Downside 12 :

3 x a x a x b x b x b

Answer :

=  3 x a x a x b x b x b

a is repeated 2 instances and b is repeated 3 instances.

=  3a2b3

Downside 13 :

2 · x + x · x + x · x · x

Answer :

2 · x + x · x + x · x · x

=  2x +
x2 + x3

Downside 14 :

2x2 x 3x

Answer :

=  2x2 x 3x

=  6x3

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