Question Find the value of the expression $6 x(8-3 x)$ .

Studdy Solution

STEP 1

1. The expression $6x(8-3x)$ is a polynomial expression that can be simplified using the distributive property.

STEP 2

1. Apply the distributive property to multiply $6x$ by each term inside the parentheses.
2. Combine like terms if necessary.

STEP 3

Apply the distributive property to multiply $6x$ by $8$ and $6x$ by $-3x$ .
$6x(8-3x) = 6x \cdot 8 - 6x \cdot 3x$

STEP 4

Perform the multiplication for each term.
$6x \cdot 8 - 6x \cdot 3x = 48x - 18x^2$

STEP 5

Since there are no like terms to combine, the expression is already simplified.
$6x(8-3x) = 48x - 18x^2$
The simplified form of the expression is $48x - 18x^2$ .

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Question Find the value of the expression $6 x(8-3 x)$ .

Studdy Solution

STEP 1

1. The expression $6x(8-3x)$ is a polynomial expression that can be simplified using the distributive property.

STEP 2

1. Apply the distributive property to multiply $6x$ by each term inside the parentheses.
2. Combine like terms if necessary.

STEP 3

Apply the distributive property to multiply $6x$ by $8$ and $6x$ by $-3x$ .
$6x(8-3x) = 6x \cdot 8 - 6x \cdot 3x$

STEP 4

Perform the multiplication for each term.
$6x \cdot 8 - 6x \cdot 3x = 48x - 18x^2$

STEP 5

Since there are no like terms to combine, the expression is already simplified.
$6x(8-3x) = 48x - 18x^2$
The simplified form of the expression is $48x - 18x^2$ .

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Question Find the value of the expression 6x(8−3x)6 x(8-3 x)6x(8−3x).

Studdy Solution

STEP 1

1. The expression 6x(8−3x)6x(8-3x)6x(8−3x) is a polynomial expression that can be simplified using the distributive property.

STEP 2

1. Apply the distributive property to multiply 6x6x6x by each term inside the parentheses.2. Combine like terms if necessary.

STEP 3

Apply the distributive property to multiply 6x6x6x by 888 and 6x6x6x by −3x-3x−3x.6x(8−3x)=6x⋅8−6x⋅3x 6x(8-3x) = 6x \cdot 8 - 6x \cdot 3x 6x(8−3x)=6x⋅8−6x⋅3x

STEP 4

Perform the multiplication for each term.6x⋅8−6x⋅3x=48x−18x2 6x \cdot 8 - 6x \cdot 3x = 48x - 18x^2 6x⋅8−6x⋅3x=48x−18x2

STEP 5

Since there are no like terms to combine, the expression is already simplified.6x(8−3x)=48x−18x2 6x(8-3x) = 48x - 18x^2 6x(8−3x)=48x−18x2The simplified form of the expression is 48x−18x248x - 18x^248x−18x2.

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Question Find the value of the expression $6 x(8-3 x)$ .

1. The expression $6x(8-3x)$ is a polynomial expression that can be simplified using the distributive property.

1. Apply the distributive property to multiply $6x$ by each term inside the parentheses.
2. Combine like terms if necessary.

Apply the distributive property to multiply $6x$ by $8$ and $6x$ by $-3x$ .
$6x(8-3x) = 6x \cdot 8 - 6x \cdot 3x$

Perform the multiplication for each term.
$6x \cdot 8 - 6x \cdot 3x = 48x - 18x^2$

Since there are no like terms to combine, the expression is already simplified.
$6x(8-3x) = 48x - 18x^2$
The simplified form of the expression is $48x - 18x^2$ .