Simplify the expression:

Question

–7(–7 + 3g) =

Answer 1

To simplify the expression \(-7(-7 + 3g)\), we will distribute \(-7\) across the parentheses.

1. Distribute \(-7\) to both terms inside the parentheses: \[ -7 \cdot -7 + (-7) \cdot 3g \]

2. Calculate each term:

   • The first term: \(-7 \cdot -7 = 49\)
   • The second term: \(-7 \cdot 3g = -21g\)

3. Combine the results: \[ 49 - 21g \]

So, the simplified expression is: \[ 49 - 21g \]

Answer 2

Simplify the expression:

(–3t + 5)(3)

Answer 3

To simplify the expression \((–3t + 5)(3)\), we will distribute \(3\) to both terms inside the parentheses.

1. Distribute \(3\): \[ 3 \cdot (-3t) + 3 \cdot 5 \]

2. Calculate each term:

   • The first term: \(3 \cdot -3t = -9t\)
   • The second term: \(3 \cdot 5 = 15\)

3. Combine the results: \[ -9t + 15 \]

So, the simplified expression is: \[ -9t + 15 \]

Answer 4

Simplify the expression:

6(–6 + 6p)

Answer 5

To simplify the expression \(6(–6 + 6p)\), we will distribute \(6\) across the terms inside the parentheses.

1. Distribute \(6\): \[ 6 \cdot (-6) + 6 \cdot (6p) \]

2. Calculate each term:

   • The first term: \(6 \cdot -6 = -36\)
   • The second term: \(6 \cdot 6p = 36p\)

3. Combine the results: \[ -36 + 36p \]

So, the simplified expression is: \[ 36p - 36 \]

Answer 6

Simplify the expression:

3(2v − 5)

Answer 7

To simplify the expression \(3(2v - 5)\), we will distribute \(3\) to both terms inside the parentheses.

1. Distribute \(3\): \[ 3 \cdot 2v + 3 \cdot (-5) \]

2. Calculate each term:

   • The first term: \(3 \cdot 2v = 6v\)
   • The second term: \(3 \cdot -5 = -15\)

3. Combine the results: \[ 6v - 15 \]

So, the simplified expression is: \[ 6v - 15 \]

Answer 8

Simplify the expression:

–5(–5 + b)

Answer 9

To simplify the expression \(-5(–5 + b)\), we will distribute \(-5\) across the terms inside the parentheses.

1. Distribute \(-5\): \[ -5 \cdot -5 + (-5) \cdot b \]

2. Calculate each term:

   • The first term: \(-5 \cdot -5 = 25\)
   • The second term: \(-5 \cdot b = -5b\)

3. Combine the results: \[ 25 - 5b \]

So, the simplified expression is: \[ 25 - 5b \]

Answer 10

Simplify the expression:

4(5 − q) =

Answer 11

To simplify the expression \(4(5 - q)\), we will distribute \(4\) across the terms inside the parentheses.

1. Distribute \(4\): \[ 4 \cdot 5 + 4 \cdot (-q) \]

2. Calculate each term:

   • The first term: \(4 \cdot 5 = 20\)
   • The second term: \(4 \cdot -q = -4q\)

3. Combine the results: \[ 20 - 4q \]

So, the simplified expression is: \[ 20 - 4q \]