Math

QuestionSimplify the expression: 6(5n+7)6(-5n + 7).

Studdy Solution

STEP 1

Question: What is the given mathematical expression?
A) 6(5n+8)6(-5 n+8) B) 6(5n+7)6(-5 n+7) C) 7(5n+6)7(-5 n+6) D) 5(6n+7)5(-6 n+7)
Answer: B) 6(5n+7)6(-5 n+7)

STEP 2

Question: Use the distributive property to rewrite the expression 6(5n+7)6(-5 n+7).
A) 65n+766 \cdot -5n + 7 \cdot 6 B) 65n+676 \cdot -5n + 6 \cdot 7 C) 5n6+7-5n \cdot 6 + 7 D) 5n+67-5n + 6 \cdot 7
Answer: B) 65n+676 \cdot -5n + 6 \cdot 7

STEP 3

Question: Perform the multiplication for the term 65n6 \cdot -5n.
A) 30n-30n B) 11n-11n C) 30n30n D) 11n11n
Answer: A) 30n-30n

STEP 4

Question: Perform the multiplication for the term 676 \cdot 7.
A) 4242 B) 4949 C) 3535 D) 1414
Answer: A) 4242

STEP 5

Question: What is the simplified form of the expression 6(5n+7)6(-5 n+7)?
A) 30n+42-30n + 42 B) 30n42-30n - 42 C) 30n+4230n + 42 D) 30n4230n - 42
Answer: A) 30n+42-30n + 42

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