Question Simplify the expression: $-7 h(8 x)$

Studdy Solution

STEP 1

Assumptions
1. The expression to simplify is $-7 h(8 x)$ .
2. The variables $h$ and $x$ are real numbers or algebraic terms.
3. The operation to perform is multiplication.

STEP 2

To simplify the expression, we need to apply the distributive property of multiplication over addition. In this case, we are multiplying a constant $-7$ with the term $h(8x)$ .

STEP 3

Apply the distributive property by multiplying $-7$ with $h$ and then with $8x$ .
$-7 h(8 x) = (-7 \cdot h) \cdot (8x)$

STEP 4

Multiply $-7$ by $h$ .
$-7 \cdot h = -7h$

STEP 5

Now, multiply $-7h$ by $8x$ .
$-7h \cdot 8x = -56hx$

STEP 6

The expression is now simplified.
The simplified form of the expression $-7 h(8 x)$ is $-56hx$ .

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Question Simplify the expression: $-7 h(8 x)$

Studdy Solution

STEP 1

Assumptions
1. The expression to simplify is $-7 h(8 x)$ .
2. The variables $h$ and $x$ are real numbers or algebraic terms.
3. The operation to perform is multiplication.

STEP 2

To simplify the expression, we need to apply the distributive property of multiplication over addition. In this case, we are multiplying a constant $-7$ with the term $h(8x)$ .

STEP 3

Apply the distributive property by multiplying $-7$ with $h$ and then with $8x$ .
$-7 h(8 x) = (-7 \cdot h) \cdot (8x)$

STEP 4

Multiply $-7$ by $h$ .
$-7 \cdot h = -7h$

STEP 5

Now, multiply $-7h$ by $8x$ .
$-7h \cdot 8x = -56hx$

STEP 6

The expression is now simplified.
The simplified form of the expression $-7 h(8 x)$ is $-56hx$ .

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Question Simplify the expression: −7h(8x)-7 h(8 x)−7h(8x)

Studdy Solution

STEP 1

Assumptions1. The expression to simplify is −7h(8x)-7 h(8 x)−7h(8x).2. The variables hhh and xxx are real numbers or algebraic terms.3. The operation to perform is multiplication.

STEP 2

To simplify the expression, we need to apply the distributive property of multiplication over addition. In this case, we are multiplying a constant −7-7−7 with the term h(8x)h(8x)h(8x).

STEP 3

Apply the distributive property by multiplying −7-7−7 with hhh and then with 8x8x8x.−7h(8x)=(−7⋅h)⋅(8x)-7 h(8 x) = (-7 \cdot h) \cdot (8x)−7h(8x)=(−7⋅h)⋅(8x)

STEP 4

Multiply −7-7−7 by hhh.−7⋅h=−7h-7 \cdot h = -7h−7⋅h=−7h

STEP 5

Now, multiply −7h-7h−7h by 8x8x8x.−7h⋅8x=−56hx-7h \cdot 8x = -56hx−7h⋅8x=−56hx

STEP 6

The expression is now simplified.The simplified form of the expression −7h(8x)-7 h(8 x)−7h(8x) is −56hx-56hx−56hx.

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Question Simplify the expression: $-7 h(8 x)$

Assumptions
1. The expression to simplify is $-7 h(8 x)$ .
2. The variables $h$ and $x$ are real numbers or algebraic terms.
3. The operation to perform is multiplication.

To simplify the expression, we need to apply the distributive property of multiplication over addition. In this case, we are multiplying a constant $-7$ with the term $h(8x)$ .

Apply the distributive property by multiplying $-7$ with $h$ and then with $8x$ .
$-7 h(8 x) = (-7 \cdot h) \cdot (8x)$

Multiply $-7$ by $h$ .
$-7 \cdot h = -7h$

Now, multiply $-7h$ by $8x$ .
$-7h \cdot 8x = -56hx$

The expression is now simplified.
The simplified form of the expression $-7 h(8 x)$ is $-56hx$ .