Simplify the following expression. Write your answer in the simplest form. Show your calculations. (2 points) (7.EE.1) 25(34p + 56w) + 15(12p − 623w)

Answer 1

To simplify the expression \( 25(34p + 56w) + 15(12p - 623w) \), we can start by distributing the coefficients \( 25 \) and \( 15 \) to the terms within the parentheses.

1. Distributing \( 25 \): \[ 25(34p) + 25(56w) = 850p + 1400w \]

2. Distributing \( 15 \): \[ 15(12p) + 15(-623w) = 180p - 9345w \]

Now, we combine the results from both distributions: \[ 850p + 1400w + 180p - 9345w \]

Next, we combine the like terms for \( p \) and \( w \):

For \( p \): \[ 850p + 180p = 1030p \]

For \( w \): \[ 1400w - 9345w = 1400 - 9345 = -7945w \]

Bringing it all together, the simplified expression is: \[ \boxed{1030p - 7945w} \]

Answer 2

make it so i can copy paste it, reformat it

Answer 3

Sure! Here's the solution reformatted for easier copying:

To simplify the expression \( 25(34p + 56w) + 15(12p - 623w) \):

1. Distributing \( 25 \): \[ 25(34p) + 25(56w) = 850p + 1400w \]

2. Distributing \( 15 \): \[ 15(12p) + 15(-623w) = 180p - 9345w \]

Combining the results: \[ 850p + 1400w + 180p - 9345w \]

Combining like terms for \( p \) and \( w \):

For \( p \): \[ 850p + 180p = 1030p \]

For \( w \): \[ 1400w - 9345w = -7945w \]

The simplified expression is: \[ \boxed{1030p - 7945w} \]

You can now copy this formatted solution easily!