Question

example 2 simplify each expression.
a. \\(6(x + 9)\\)
\\(6(x + 9) = 6(x) + 6(9)\\)
\\(= 6x + 54\\)

b. \\(10(12 + z + 7)\\)
\\(10(12 + z + 7) = 10(12) + 10(z) + 10(7)\\)
\\(= 120 + 10z + 70\\)
\\(= 10z + 190\\)

c. \\(16(8w - 3)\\)
\\(16(8w - 3) = 16(8w) - 16(3)\\)
\\(= 128w - 48\\)

d. \\(5(4m - 3n - 1)\\)
\\(5(4m - 3n - 1) = 5(4m) - 5(3n) - 5(1)\\)
\\(= 20m - 15n - 5\\)

Explanation:

Apply distributive property to part a

$$
LATEXBLOCK0
$$

Apply distributive property and combine like terms to part b

$$
LATEXBLOCK1
$$

Apply distributive property to parts c and d

$$
LATEXBLOCK2
$$

Answer:

a. \(6x + 54\)

b. \(10z + 190\)

c. \(128w - 48\)

d. \(20m - 15n - 5\)