Question

Expand
& simplify
4(b + 4) + 5(b-6)

Answer 1

9b - 14

Explanation:

Given expression,

→ 4(b + 4) + 5(b - 6)

Let's simplify the expression,

→ 4(b + 4) + 5(b - 6)

→ 4b + 16 + 5b - 30

→ (4b + 5b) + (16 - 30)

→ 9b + (-14)

→ 9b - 14

Hence, the answer is 9b - 14.

Answer 2

9b - 14

Explanation:

4(b + 4) + 5(b-6)

==> expand by distributing

4b + 16 + 5b - 30

==> simplify by combing like terms

9b - 14

Recall that:

• Distributive property : a(b+c) = ab + ac
• Like terms are terms with the same variable(usually defined by a letter) and same exponent. E.g. 4x² and 9x² are like terms because they both have a variable of x and an exponent of 2. Because they are like terms they can be combined to make 13x². This idea was used to combine (4b and 5b) and (16 and -30)