Asked by INCChan
Which of the following answers apply for the distribution distributive property of multiplication over addition correctly simplifying 23 - 9 ( 2x + 5) plus 11X
Answers
Answered by
INCChan
Simplify -4 ( 7b + 3 ) + 24b - 8
Answered by
INCChan
Simplify 2 (3v+9) - 14 - 6 (-5v - 4)
Answered by
INCChan
-15+ 4/5(15e - 10) - 10e
Answered by
INCChan
Factor 48y + 36z using the GCF
Answered by
TaylorSwift
was it right
Answered by
GPT 3.5
To simplify the given expression using the distributive property of multiplication over addition, we need to distribute the number or expression outside the parentheses to each term inside the parentheses.
23 - 9(2x + 5) + 11x
Applying the distributive property:
= 23 - 9(2x) - 9(5) + 11x
= 23 - 18x - 45 + 11x
Now, let's combine like terms:
= (23 - 45) + (-18x + 11x)
= -22 - 7x
Therefore, the simplified form of the expression is -22 - 7x.
23 - 9(2x + 5) + 11x
Applying the distributive property:
= 23 - 9(2x) - 9(5) + 11x
= 23 - 18x - 45 + 11x
Now, let's combine like terms:
= (23 - 45) + (-18x + 11x)
= -22 - 7x
Therefore, the simplified form of the expression is -22 - 7x.
Answered by
GPT 3.5
To simplify the given expression using the distributive property of multiplication over addition:
-4(7b + 3) + 24b - 8
Apply the distributive property:
= -4 * 7b + (-4 * 3) + 24b - 8
= -28b - 12 + 24b - 8
Now combine like terms:
= (-28b + 24b) + (-12 - 8)
= -4b - 20
Therefore, the simplified form of the expression is -4b - 20.
-4(7b + 3) + 24b - 8
Apply the distributive property:
= -4 * 7b + (-4 * 3) + 24b - 8
= -28b - 12 + 24b - 8
Now combine like terms:
= (-28b + 24b) + (-12 - 8)
= -4b - 20
Therefore, the simplified form of the expression is -4b - 20.
Answered by
GPT 3.5
To simplify the given expression using the distributive property of multiplication over addition:
2(3v + 9) - 14 - 6(-5v - 4)
Let's apply the distributive property:
= 2 * 3v + 2 * 9 - 14 - 6 * (-5v) - 6 * (-4)
= 6v + 18 - 14 + 30v + 24
Now combine like terms:
= (6v + 30v) + (18 + 24 - 14)
= 36v + 28
Therefore, the simplified form of the expression is 36v + 28.
2(3v + 9) - 14 - 6(-5v - 4)
Let's apply the distributive property:
= 2 * 3v + 2 * 9 - 14 - 6 * (-5v) - 6 * (-4)
= 6v + 18 - 14 + 30v + 24
Now combine like terms:
= (6v + 30v) + (18 + 24 - 14)
= 36v + 28
Therefore, the simplified form of the expression is 36v + 28.
Answered by
GPT 3.5
To simplify the given expression using the distributive property of multiplication over addition:
-15 + (4/5)(15e - 10) - 10e
Let's apply the distributive property:
= -15 + (4/5)(15e) + (4/5)(-10) - 10e
= -15 + (4/5)(15e) - (4/5)(10) - 10e
Simplify the multiplication:
= -15 + (4/5)*15e - (4/5)*10 - 10e
= -15 + (60/5)e - (40/5) - 10e
= -15 + 12e - 8 - 10e
Combine like terms:
= (-15 - 8) + (12e - 10e)
= -23 + 2e
Therefore, the simplified form of the expression is -23 + 2e.
-15 + (4/5)(15e - 10) - 10e
Let's apply the distributive property:
= -15 + (4/5)(15e) + (4/5)(-10) - 10e
= -15 + (4/5)(15e) - (4/5)(10) - 10e
Simplify the multiplication:
= -15 + (4/5)*15e - (4/5)*10 - 10e
= -15 + (60/5)e - (40/5) - 10e
= -15 + 12e - 8 - 10e
Combine like terms:
= (-15 - 8) + (12e - 10e)
= -23 + 2e
Therefore, the simplified form of the expression is -23 + 2e.
Answered by
GPT 3.5
To factor 48y + 36z using the greatest common factor (GCF), we need to find the largest factor that can be divided evenly into both terms.
The prime factorization of 48 is:
48 = 2 * 2 * 2 * 2 * 3
The prime factorization of 36 is:
36 = 2 * 2 * 3 * 3
The GCF of 48 and 36 can be found by taking the product of the common prime factors raised to the lowest exponent. In this case, that would be 2 * 2 * 3 = 12.
Now we can rewrite the expression 48y + 36z as follows:
48y + 36z = 12 * (4y + 3z)
Therefore, the factored form of 48y + 36z using the GCF is 12(4y + 3z).
The prime factorization of 48 is:
48 = 2 * 2 * 2 * 2 * 3
The prime factorization of 36 is:
36 = 2 * 2 * 3 * 3
The GCF of 48 and 36 can be found by taking the product of the common prime factors raised to the lowest exponent. In this case, that would be 2 * 2 * 3 = 12.
Now we can rewrite the expression 48y + 36z as follows:
48y + 36z = 12 * (4y + 3z)
Therefore, the factored form of 48y + 36z using the GCF is 12(4y + 3z).
Answered by
GPT 3.5
My apologies for the incorrect response. The factorization mentioned above is not accurate.
To factor 48y + 36z using the GCF, we first need to identify the greatest common factor of the two terms, which is 12.
48y can be expressed as 12 * 4y.
36z can be expressed as 12 * 3z.
Therefore, 48y + 36z can be factored as:
12 * 4y + 12 * 3z
Now, we can factor out the GCF, which is 12:
12(4y + 3z)
So the correct factored form of 48y + 36z using the GCF is 12(4y + 3z).
To factor 48y + 36z using the GCF, we first need to identify the greatest common factor of the two terms, which is 12.
48y can be expressed as 12 * 4y.
36z can be expressed as 12 * 3z.
Therefore, 48y + 36z can be factored as:
12 * 4y + 12 * 3z
Now, we can factor out the GCF, which is 12:
12(4y + 3z)
So the correct factored form of 48y + 36z using the GCF is 12(4y + 3z).
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