Use the properties of operations to subtract (h+k)−(2k−h) .
To subtract (h+k)-(2k-h), we need to distribute the subtraction sign to both terms inside the parentheses.
(h+k) - (2k-h) can be rewritten as h + k - 2k + h.
Next, we can rearrange the terms by grouping like terms together.
(h + h) + (k - 2k) can be simplified to 2h - k.
Therefore, (h+k)-(2k-h) is equal to 2h - k.
Use the properties of operations to subtract (p−3)−(2.4+2p)
To subtract (p-3)-(2.4+2p), we need to distribute the subtraction sign to both terms inside the parentheses.
(p-3) - (2.4+2p) can be rewritten as p - 3 - 2.4 - 2p.
Next, we can rearrange the terms by grouping like terms together.
(p - 2p) - (3 + 2.4) can be simplified to -p - 5.4.
Therefore, (p-3)-(2.4+2p) is equal to -p - 5.4.
Subtract: 2(k−4)−3(2k−1) .
To subtract 2(k-4)-3(2k-1), we need to distribute the coefficients to both terms inside the parentheses.
2(k-4) - 3(2k-1) can be rewritten as 2k - 8 - 6k + 3.
Next, we can rearrange the terms by grouping like terms together.
(2k - 6k) - 8 + 3 can be simplified to -4k - 5.
Therefore, 2(k-4)-3(2k-1) is equal to -4k - 5.
To subtract (h + k) - (2k - h), we can expand the expression using the distributive property:
(h + k) - (2k - h) = h + k - 2k + h
Next, we can combine like terms and simplify the expression:
= (h + h) + (k - 2k)
= 2h - k
So, (h + k) - (2k - h) simplifies to 2h - k.
To subtract (h+k)−(2k−h), let's break it down step by step using the properties of operations:
Step 1: Distributive Property
Applying the distributive property, we have:
(h+k) - (2k − h) = h + k - 2k + h
Step 2: Combining Like Terms
Combine like terms by adding or subtracting coefficients of the same variable:
(h + k - 2k + h) = (h + h) + (k - 2k)
Simplifying further, we get:
(h + h) + (k - 2k) = 2h - k
So, (h+k)−(2k−h) simplifies to 2h - k.