Question

factoring expressions
factor the expression using gcf
① 9+21=
② 32 + -48
③ 8x+2
④ 3y - 24
⑤ 20z - 8
⑥ 36a + 16b

Explanation:

Step1: Find GCF of 9 and 21

Factors of 9: $1, 3, 9$; Factors of 21: $1, 3, 7, 21$. GCF = $3$

Step2: Factor out GCF from $9+21$

$3\times(3 + 7)$
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Step1: Find GCF of 32 and 48

Factors of 32: $1,2,4,8,16,32$; Factors of 48: $1,2,3,4,6,8,12,16,24,48$. GCF = $16$

Step2: Factor out GCF from $32+(-48)$

$16\times(2 - 3)$
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Step1: Find GCF of 8 and 2

Factors of 8: $1,2,4,8$; Factors of 2: $1,2$. GCF = $2$

Step2: Factor out GCF from $8x+2$

$2\times(4x + 1)$
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Step1: Find GCF of 3 and 24

Factors of 3: $1,3$; Factors of 24: $1,2,3,4,6,8,12,24$. GCF = $3$

Step2: Factor out GCF from $3y-24$

$3\times(y - 8)$
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Step1: Find GCF of 20 and 8

Factors of 20: $1,2,4,5,10,20$; Factors of 8: $1,2,4,8$. GCF = $4$

Step2: Factor out GCF from $20z-8$

$4\times(5z - 2)$
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Step1: Find GCF of 36 and 16

Factors of 36: $1,2,3,4,6,9,12,18,36$; Factors of 16: $1,2,4,8,16$. GCF = $4$

Step2: Factor out GCF from $36a+16b$

$4\times(9a + 4b)$

Answer:

1. $3(3 + 7)$
2. $16(2 - 3)$
3. $2(4x + 1)$
4. $3(y - 8)$
5. $4(5z - 2)$
6. $4(9a + 4b)$