QuestionFactor the expression: $18t + 9 = 9(\_ + \_)$ . Fill in the blanks.

Studdy Solution

STEP 1

Assumptions1. We are given the expression $18t +9$ . . We are asked to factorize this expression into the form 9(\ + \).
3. We can assume that the factorization will involve the common factor of $9$ .

STEP 2

We need to identify the common factor in the given expression.

STEP 3

The common factor in the given expression $18t +9$ is $9$ .

STEP 4

Now, we need to divide each term in the expression by the common factor.
$\frac{18t}{9} + \frac{9}{9}$

STEP 5

Calculate the division to simplify the expression.
$2t +1$

STEP 6

Now, we can substitute these values back into the original expression to complete the factorization.
$9(2t +1)$ So, the factorized form of the expression $18t +9$ is $9(2t +1)$ .

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QuestionFactor the expression: $18t + 9 = 9(\_ + \_)$ . Fill in the blanks.

Studdy Solution

STEP 1

Assumptions1. We are given the expression $18t +9$ . . We are asked to factorize this expression into the form 9(\ + \).
3. We can assume that the factorization will involve the common factor of $9$ .

STEP 2

We need to identify the common factor in the given expression.

STEP 3

The common factor in the given expression $18t +9$ is $9$ .

STEP 4

Now, we need to divide each term in the expression by the common factor.
$\frac{18t}{9} + \frac{9}{9}$

STEP 5

Calculate the division to simplify the expression.
$2t +1$

STEP 6

Now, we can substitute these values back into the original expression to complete the factorization.
$9(2t +1)$ So, the factorized form of the expression $18t +9$ is $9(2t +1)$ .

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QuestionFactor the expression: 18t+9=9(_+_)18t + 9 = 9(\_ + \_)18t+9=9(_+_). Fill in the blanks.

Studdy Solution

STEP 1

Assumptions1. We are given the expression 18t+918t +918t+9. . We are asked to factorize this expression into the form 9(\ + \).3. We can assume that the factorization will involve the common factor of 999.

STEP 2

We need to identify the common factor in the given expression.

STEP 3

The common factor in the given expression 18t+918t +918t+9 is 999.

STEP 4

Now, we need to divide each term in the expression by the common factor.18t9+99\frac{18t}{9} + \frac{9}{9} 918t​+99​

STEP 5

Calculate the division to simplify the expression.2t+12t +12t+1

STEP 6

Now, we can substitute these values back into the original expression to complete the factorization.9(2t+1)9(2t +1) 9(2t+1)So, the factorized form of the expression 18t+918t +918t+9 is 9(2t+1)9(2t +1)9(2t+1).

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QuestionFactor the expression: $18t + 9 = 9(\_ + \_)$ . Fill in the blanks.

Assumptions1. We are given the expression $18t +9$ . . We are asked to factorize this expression into the form 9(\ + \).
3. We can assume that the factorization will involve the common factor of $9$ .

The common factor in the given expression $18t +9$ is $9$ .

Now, we need to divide each term in the expression by the common factor.
$\frac{18t}{9} + \frac{9}{9}$

Calculate the division to simplify the expression.
$2t +1$

Now, we can substitute these values back into the original expression to complete the factorization.
$9(2t +1)$ So, the factorized form of the expression $18t +9$ is $9(2t +1)$ .