QuestionSimplify the expression by combining like terms: $-3x + 6x^2 - 9 - x^2$ .

Studdy Solution

STEP 1

Assumptions1. We are given the algebraic expression -3x +6x^ -9 - x^. . We need to simplify this expression by combining like terms.
3. Like terms are terms that have the same variable and exponent. In this case, 6x^ and -x^ are like terms.

STEP 2

Identify the like terms in the expression.The like terms are $6x^2$ and $-x^2$ .

STEP 3

Combine the like terms by adding or subtracting them. $6x^2 - x^2$

STEP 4

Calculate the result of combining the like terms.
$6x^2 - x^2 =x^2$

STEP 5

Replace the like terms in the original expression with the simplified term.
The original expression was $-3x +x^2 -9 - x^2$ . Replacing the like terms with the simplified term gives us $-3x +5x^2 -9$

STEP 6

Rearrange the terms in the expression so that the terms are in descending order of exponent.
$5x^2 -3x -9$ The simplified expression is $5x^2 -3x -9$ .

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QuestionSimplify the expression by combining like terms: $-3x + 6x^2 - 9 - x^2$ .

Studdy Solution

STEP 1

Assumptions1. We are given the algebraic expression -3x +6x^ -9 - x^. . We need to simplify this expression by combining like terms.
3. Like terms are terms that have the same variable and exponent. In this case, 6x^ and -x^ are like terms.

STEP 2

Identify the like terms in the expression.The like terms are $6x^2$ and $-x^2$ .

STEP 3

Combine the like terms by adding or subtracting them. $6x^2 - x^2$

STEP 4

Calculate the result of combining the like terms.
$6x^2 - x^2 =x^2$

STEP 5

Replace the like terms in the original expression with the simplified term.
The original expression was $-3x +x^2 -9 - x^2$ . Replacing the like terms with the simplified term gives us $-3x +5x^2 -9$

STEP 6

Rearrange the terms in the expression so that the terms are in descending order of exponent.
$5x^2 -3x -9$ The simplified expression is $5x^2 -3x -9$ .

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QuestionSimplify the expression by combining like terms: −3x+6x2−9−x2-3x + 6x^2 - 9 - x^2−3x+6x2−9−x2.

Studdy Solution

STEP 1

Assumptions1. We are given the algebraic expression -3x +6x^ -9 - x^. . We need to simplify this expression by combining like terms.3. Like terms are terms that have the same variable and exponent. In this case, 6x^ and -x^ are like terms.

STEP 2

Identify the like terms in the expression.The like terms are 6x26x^26x2 and −x2-x^2−x2.

STEP 3

Combine the like terms by adding or subtracting them.6x2−x26x^2 - x^26x2−x2

STEP 4

Calculate the result of combining the like terms.6x2−x2=x26x^2 - x^2 =x^26x2−x2=x2

STEP 5

Replace the like terms in the original expression with the simplified term.The original expression was −3x+x2−9−x2-3x +x^2 -9 - x^2−3x+x2−9−x2. Replacing the like terms with the simplified term gives us−3x+5x2−9-3x +5x^2 -9−3x+5x2−9

STEP 6

Rearrange the terms in the expression so that the terms are in descending order of exponent.5x2−3x−95x^2 -3x -95x2−3x−9The simplified expression is 5x2−3x−95x^2 -3x -95x2−3x−9.

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QuestionSimplify the expression by combining like terms: $-3x + 6x^2 - 9 - x^2$ .

Assumptions1. We are given the algebraic expression -3x +6x^ -9 - x^. . We need to simplify this expression by combining like terms.
3. Like terms are terms that have the same variable and exponent. In this case, 6x^ and -x^ are like terms.

Identify the like terms in the expression.The like terms are $6x^2$ and $-x^2$ .

Combine the like terms by adding or subtracting them. $6x^2 - x^2$

Calculate the result of combining the like terms.
$6x^2 - x^2 =x^2$

Replace the like terms in the original expression with the simplified term.
The original expression was $-3x +x^2 -9 - x^2$ . Replacing the like terms with the simplified term gives us $-3x +5x^2 -9$

Rearrange the terms in the expression so that the terms are in descending order of exponent.
$5x^2 -3x -9$ The simplified expression is $5x^2 -3x -9$ .