Simplify the expression

(1+5r)(-3)

11 answers

To simplify the expression \((1 + 5r)(-3)\), you need to distribute \(-3\) to both terms inside the parentheses:

\[ (1 + 5r)(-3) = 1 \cdot (-3) + 5r \cdot (-3) \]

Calculating each term:

  1. \(1 \cdot (-3) = -3\)
  2. \(5r \cdot (-3) = -15r\)

Combining these results gives:

\[ -3 - 15r \]

Thus, the simplified expression is:

\[ \boxed{-3 - 15r} \]

Simplify the expression
4(4-h)

To simplify the expression \(4(4 - h)\), distribute the \(4\) to both terms inside the parentheses:

\[ 4(4 - h) = 4 \cdot 4 - 4 \cdot h \]

Calculating each term:

  1. \(4 \cdot 4 = 16\)
  2. \(4 \cdot (-h) = -4h\)

Combining these results gives:

\[ 16 - 4h \]

Thus, the simplified expression is:

\[ \boxed{16 - 4h} \]

Without the \boxed

The simplified expression for \(4(4 - h)\) is:

16 - 4h.

Simplify the expression
3(6-4s)

To simplify the expression \(3(6 - 4s)\), distribute the \(3\) to both terms inside the parentheses:

\[ 3(6 - 4s) = 3 \cdot 6 - 3 \cdot 4s \]

Calculating each term:

  1. \(3 \cdot 6 = 18\)
  2. \(3 \cdot (-4s) = -12s\)

Combining these results gives:

18 - 12s.

Simplify the expression
7(9-2m)

To simplify the expression \(7(9 - 2m)\), distribute the \(7\) to both terms inside the parentheses:

\[ 7(9 - 2m) = 7 \cdot 9 - 7 \cdot 2m \]

Calculating each term:

  1. \(7 \cdot 9 = 63\)
  2. \(7 \cdot (-2m) = -14m\)

Combining these results gives:

63 - 14m.

0.5(-2.9+4f)

To simplify the expression \(0.5(-2.9 + 4f)\), distribute \(0.5\) to both terms inside the parentheses:

\[ 0.5(-2.9 + 4f) = 0.5 \cdot (-2.9) + 0.5 \cdot (4f) \]

Calculating each term:

  1. \(0.5 \cdot (-2.9) = -1.45\)
  2. \(0.5 \cdot 4f = 2f\)

Combining these results gives:

\(-1.45 + 2f\).