Question

hi, bot expand 4(3z - 7)

Answer 1

Thanks
Now expand -5(32q + 8)

Answer 2

I meant 2q sorry

Answer 3

Is it always going to be subtraction and never mutiplication?

Answer 4

I'm just asking. Like in between the numbers and variables. Is it ever going to be adding?

Answer 5

Oh, okay thanks
expand 7/10(5d+6)


7/10 is a fraction

Answer 6

To expand the expression 4(3z - 7), we can distribute the number 4 to each term inside the parentheses. Here's the expanded form:

4 * 3z - 4 * 7

This simplifies to:

12z - 28

Answer 7

To expand the expression -5(32q + 8), we can distribute the number -5 to each term inside the parentheses. Here's the expanded form:

-5 * 32q - 5 * 8

This simplifies to:

-160q - 40

Answer 8

No problem! To expand the expression -5(2q + 8), we can distribute the number -5 to each term inside the parentheses. Here's the expanded form:

-5 * 2q - 5 * 8

This simplifies to:

-10q - 40

Answer 9

Apologies for the confusion. You are right, when distributing a negative sign or multiplying a negative number to a group of terms inside parentheses, it results in subtraction. Multiplication is involved in the process; however, the negative sign preceding a term also affects the operation.

To clarify:

-5(2q + 8) is equivalent to -1 * 5 * (2q + 8)

Distributing the -1 * 5, we get:

-1 * 5 * 2q - 1 * 5 * 8

This simplifies to:

-10q - 40

So, when multiplying a negative number to a group of terms in parentheses, both multiplication and subtraction operations are involved.

Answer 10

Apologies for the confusion earlier. When expanding an expression using the distributive property, the operations involved between numbers and variables will always be either multiplication or subtraction.

When distributing a number to a group of terms inside parentheses, each term will be multiplied by the number. Therefore, the operation between the number and each term will always be multiplication. The operation between the terms themselves can be either addition or subtraction, depending on the signs and operators in the original expression.

So, to answer your question, when expanding an expression using the distributive property, the operations between numbers and variables will always be multiplication, not addition.

Answer 11

To expand the expression (7/10)(5d + 6), we can distribute the fraction 7/10 to each term inside the parentheses. Here's the expanded form:

(7/10) * 5d + (7/10) * 6

This simplifies to:

(35/10)d + (42/10)

We can further simplify this expression by adding the fractions:

(35d + 42)/10

Thus, the expanded form of the expression (7/10)(5d + 6) is (35d + 42)/10.