Math  /  Algebra

QuestionSubtract. (7q+6)(4q+5)(7 q+6)-(4 q+5) Submit

Studdy Solution

STEP 1

1. We are given a subtraction problem involving algebraic expressions.
2. The expressions involve the same variable q q .
3. We need to simplify the expression by performing the subtraction.

STEP 2

1. Distribute the negative sign across the second expression.
2. Combine like terms.

STEP 3

Distribute the negative sign across the second expression:
(7q+6)(4q+5)=7q+64q5 (7q + 6) - (4q + 5) = 7q + 6 - 4q - 5

STEP 4

Combine like terms:
- Combine the q q terms: 7q4q=3q 7q - 4q = 3q - Combine the constant terms: 65=1 6 - 5 = 1
The simplified expression is:
3q+1 3q + 1
The result of the subtraction is:
3q+1 \boxed{3q + 1}

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