Math / Algebra

QuestionFill in the gaps to factorise this expression. $16 m+8=8(-\square)$

Studdy Solution

STEP 1

1. We are given the expression $16m + 8$ and need to factor it.
2. The expression can be factored by identifying common factors.
3. We need to fill in the blank in the expression $8(-\square)$ .

STEP 2

1. Identify the greatest common factor (GCF) of the terms in the expression $16m + 8$ .
2. Factor out the GCF from the expression.
3. Fill in the blank in the expression $8(-\square)$ .

STEP 3

Identify the greatest common factor (GCF) of the terms $16m$ and $8$ .
The GCF of $16m$ and $8$ is $8$ .

STEP 4

Factor out the GCF from the expression $16m + 8$ .
$16m + 8 = 8(2m + 1)$

STEP 5

Fill in the blank in the expression $8(-\square)$ .
Since we factored $16m + 8$ as $8(2m + 1)$ , we need to express $2m + 1$ in the form $-\square$ .
$8(2m + 1) = 8(-( -2m - 1))$
Thus, the blank is filled with $-2m - 1$ .

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QuestionFill in the gaps to factorise this expression. $16 m+8=8(-\square)$

Studdy Solution

STEP 1

1. We are given the expression $16m + 8$ and need to factor it.
2. The expression can be factored by identifying common factors.
3. We need to fill in the blank in the expression $8(-\square)$ .

STEP 2

1. Identify the greatest common factor (GCF) of the terms in the expression $16m + 8$ .
2. Factor out the GCF from the expression.
3. Fill in the blank in the expression $8(-\square)$ .

STEP 3

Identify the greatest common factor (GCF) of the terms $16m$ and $8$ .
The GCF of $16m$ and $8$ is $8$ .

STEP 4

Factor out the GCF from the expression $16m + 8$ .
$16m + 8 = 8(2m + 1)$

STEP 5

Fill in the blank in the expression $8(-\square)$ .
Since we factored $16m + 8$ as $8(2m + 1)$ , we need to express $2m + 1$ in the form $-\square$ .
$8(2m + 1) = 8(-( -2m - 1))$
Thus, the blank is filled with $-2m - 1$ .

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QuestionFill in the gaps to factorise this expression. 16m+8=8(−□)16 m+8=8(-\square)16m+8=8(−□)

Studdy Solution

STEP 1

1. We are given the expression 16m+816m + 816m+8 and need to factor it.2. The expression can be factored by identifying common factors.3. We need to fill in the blank in the expression 8(−□)8(-\square)8(−□).

STEP 2

1. Identify the greatest common factor (GCF) of the terms in the expression 16m+816m + 816m+8.2. Factor out the GCF from the expression.3. Fill in the blank in the expression 8(−□)8(-\square)8(−□).

STEP 3

Identify the greatest common factor (GCF) of the terms 16m16m16m and 888.The GCF of 16m16m16m and 888 is 888.

STEP 4

Factor out the GCF from the expression 16m+816m + 816m+8.16m+8=8(2m+1) 16m + 8 = 8(2m + 1) 16m+8=8(2m+1)

STEP 5

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QuestionFill in the gaps to factorise this expression. $16 m+8=8(-\square)$

1. We are given the expression $16m + 8$ and need to factor it.
2. The expression can be factored by identifying common factors.
3. We need to fill in the blank in the expression $8(-\square)$ .

1. Identify the greatest common factor (GCF) of the terms in the expression $16m + 8$ .
2. Factor out the GCF from the expression.
3. Fill in the blank in the expression $8(-\square)$ .

Identify the greatest common factor (GCF) of the terms $16m$ and $8$ .
The GCF of $16m$ and $8$ is $8$ .

Factor out the GCF from the expression $16m + 8$ .
$16m + 8 = 8(2m + 1)$