Simplify the expression by combining any like terms.EXAMPLE 3Simplify each expression by c...

Simplify the expression by combining any like terms.

EXAMPLE 3

Simplify each expression by combining like terms.

a. 7x − 3x

b. 10y2 + y2

c. 8x2 + 2x − 3x

d. 8x2 + 2x − 3x

Solution

a. 7x − 3x = (7 − 3)x = 4x

b. 10y2 + y2 = 10y2 + 1y2 = (10 + 1)y2 = 11y2

c. 8x2 + 2x − 3x = 8x2 + (2 − 3)x = 8x2 − x

d. 9n2 − 5n2 + n2 = 19 − 5 + 12n2 = 5n2

EXAMPLE 4

Simplify each expression by combining like terms.

a. 2x + 3x + 5 + 2

b. −5a − 3 + a + 2

c. 4y − 3y2

d. 2.3x + 5x − 6

e.

Solution

a.

b.

c. 4y − 3y2 These two terms cannot be combined because they are unlike terms.

d.

e.

m − 4m + 2m − 6