Now can’t you simplify these?

(i) 2x + (3x + 1)

(ii) x + (2x + 3)

(iii) (x + 2) + (2x + 1)

(iv) (x + 1) + (x + y)

(v) (3x + 2y) + (x + y)

(vi) (3x + 2y) + (2x + 3y)

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Solution

(i) 2x + (3x + 1)

= (2x + 3x) + 1

= 5x + 1

(ii) x + (2x + 3)

= (x + 2x) + 3

= 3x + 3

= 3(x + 1)

(iii) (x + 2) + (2x + 1)

= (x + 2x) + (2 + 1)

= 3x + 3

= 3(x + 1)

(iv) (x + 1) + (x + y)

= (x + x) + 1 + y

= 2x + y + 1

(v) (3x + 2y) + (x + y)

= (3x + x) + (2y + y)

= 4x + 3y

(vi) (3x + 2y) + (2x + 3y)

= 3x + 2y + 2x + 3y

= (3x + 2x) + (2y + 3y)

= 5x + 5y

= 5(x + y)

Suggest Corrections

Similar questions

Now can’t you simplify these?

(i) (2x − 1) + (x − 2)

(ii) (5x − 6y) + (2x − 3y)

(iii) (2x − 3y) + (3x − 2y)

(iv) (x − y) + (x − y)

Try simplifying these:

(i) (3x + 2y) − (x + y)

(ii) (3x + 2y) − (x − y)

(iii) (x + y) − (x − y)

(iv) (x − y) − (x + y)

(v) (4x − 3y) − (2x − 5x)

Now can you simplify these?

(i) (x + 4) + (x − 2)

(ii) (2x + 3) + (x − 1)

(iii) (x + 1) + (x − 1)

(iv) (5x + 6y) + (2x − 3y)

(v) (x + y) + (x − y)

(2 x - y) + (2 y - 3 x) + (3 y - x)

(2 x - 3 y) (3 x + y) + (x + 2 y) (x - y)

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