QuestionDistribute in the expression: $x\left(1-\frac{4}{x}\right)=$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $x\left(1-\frac{4}{x}\right)$ . We need to apply the distributive property to this expression.

STEP 2

The distributive property states that for any real numbers a, b, and c, the equation a(b + c) = ab + ac holds. In this case, we can think of x as a,1 as b, and -4/x as c.

STEP 3

First, distribute x to1.
$x \cdot1 = x$

STEP 4

Next, distribute x to -4/x.
$x \cdot -\frac{4}{x} = -4$

STEP 5

Combine the two results from steps3 and4 to get the final expression.
$x\left(1-\frac{4}{x}\right) = x -4$ So, applying the distributive property to the given expression, we get $x\left(1-\frac{4}{x}\right) = x -4$

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QuestionDistribute in the expression: $x\left(1-\frac{4}{x}\right)=$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $x\left(1-\frac{4}{x}\right)$ . We need to apply the distributive property to this expression.

STEP 2

The distributive property states that for any real numbers a, b, and c, the equation a(b + c) = ab + ac holds. In this case, we can think of x as a,1 as b, and -4/x as c.

STEP 3

First, distribute x to1.
$x \cdot1 = x$

STEP 4

Next, distribute x to -4/x.
$x \cdot -\frac{4}{x} = -4$

STEP 5

Combine the two results from steps3 and4 to get the final expression.
$x\left(1-\frac{4}{x}\right) = x -4$ So, applying the distributive property to the given expression, we get $x\left(1-\frac{4}{x}\right) = x -4$

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QuestionDistribute in the expression: x(1−4x)=x\left(1-\frac{4}{x}\right)=x(1−x4​)=

Studdy Solution

STEP 1

Assumptions1. We are given the expression x(1−4x)x\left(1-\frac{4}{x}\right)x(1−x4​). We need to apply the distributive property to this expression.

STEP 2

The distributive property states that for any real numbers a, b, and c, the equation a(b + c) = ab + ac holds. In this case, we can think of x as a,1 as b, and -4/x as c.

STEP 3

First, distribute x to1.x⋅1=xx \cdot1 = xx⋅1=x

STEP 4

Next, distribute x to -4/x.x⋅−4x=−4x \cdot -\frac{4}{x} = -4x⋅−x4​=−4

STEP 5

Combine the two results from steps3 and4 to get the final expression.x(1−4x)=x−4x\left(1-\frac{4}{x}\right) = x -4x(1−x4​)=x−4So, applying the distributive property to the given expression, we getx(1−4x)=x−4x\left(1-\frac{4}{x}\right) = x -4x(1−x4​)=x−4

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QuestionDistribute in the expression: $x\left(1-\frac{4}{x}\right)=$

Assumptions1. We are given the expression $x\left(1-\frac{4}{x}\right)$ . We need to apply the distributive property to this expression.

First, distribute x to1.
$x \cdot1 = x$

Next, distribute x to -4/x.
$x \cdot -\frac{4}{x} = -4$

Combine the two results from steps3 and4 to get the final expression.
$x\left(1-\frac{4}{x}\right) = x -4$ So, applying the distributive property to the given expression, we get $x\left(1-\frac{4}{x}\right) = x -4$