Expand 7/10 (5d + 6)
Responses
5d + 21/5
72d + 21/5
35d + 6
35d + 42
To expand the expression 7/10 (5d + 6), we distribute the 7/10 to each term in the parentheses:
7/10 (5d) + 7/10 (6)
Multiplying each term:
(7/10 * 5d) + (7/10 * 6)
Simplifying:
35/10d + 42/10
Combining like terms:
35d/10 + 42/10
Simplifying further:
(35d + 42)/10
Therefore, the expanded expression is (35d + 42)/10.
Expand −5/8 (3p + 8)
Responses
−15p + (−40)
−15/8 p − 5
3p + 8
−15/8 + 3p
To expand the expression -5/8 (3p + 8), we distribute the -5/8 to each term in the parentheses:
-5/8 (3p) + -5/8 (8)
Multiplying each term:
-15/8p + -40/8
Simplifying:
-15p/8 - 5
Therefore, the expanded expression is -15p/8 - 5.
Factor 9z + 18 using the GCF.
To factor 9z + 18 using the greatest common factor (GCF), we first identify the GCF of both terms, which in this case is 9.
Next, we divide each term by the GCF:
9z/9 + 18/9
Simplifying:
z + 2
Therefore, the factored form of 9z + 18 using the GCF is 9(z + 2).
Factor 16d − 12 using the GCF.
To factor 16d - 12 using the greatest common factor (GCF), we first identify the GCF of both terms, which in this case is 4.
Next, we divide each term by the GCF:
(16d)/4 - 12/4
Simplifying:
4d - 3
Therefore, the factored form of 16d - 12 using the GCF is 4(d - 3).
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To factor 16d - 12 using the greatest common factor (GCF), we first identify the GCF of both terms, which in this case is 4.
Next, we divide each term by the GCF:
(16d)/4 - 12/4
This simplifies to:
4d - 3
Therefore, the factored form of 16d - 12 using the GCF is 4d - 3.
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