Math  /  Algebra

QuestionPractice
1. Expand the expression 3.5(3n+4)3.5(-3 n+4).

Studdy Solution

STEP 1

1. We need to expand the expression using the distributive property.
2. The expression involves a single term being multiplied by a binomial.

STEP 2

1. Apply the distributive property to the expression 3.5(3n+4)3.5(-3n + 4).
2. Simplify the resulting expression.

STEP 3

Apply the distributive property by multiplying 3.53.5 with each term inside the parentheses:
3.5×(3n)+3.5×4 3.5 \times (-3n) + 3.5 \times 4

STEP 4

Calculate each product separately:
For the first term: 3.5×(3n)=10.5n 3.5 \times (-3n) = -10.5n
For the second term: 3.5×4=14 3.5 \times 4 = 14
Combine the results to get the expanded expression: 10.5n+14 -10.5n + 14

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