Question

What is (m−3+4n)⋅(−8)

Answer 1

-8m+24-32n

Explanation:

To expand this, we have to multiply -8 into m, -3, and 4n. Expanding, we get

(-8)(m)+(-8)(-3)+(-8)(4n)

This simplifies to

-8m+24-32n, which is our answer.

Answer 2

The required equivalent expression is
`-8m+24-32n`.

Given that,

Apply the distributive property in the expression; (m -3 + 4n) (-8).

We have to determine,

An equivalent expression to the given equation.

According to the question,

The distributive property applies to the multiplication of a number with the sum or difference of two numbers .

The distributive property holds true for multiplication over addition and subtraction.

Therefore,

Expression; (m -3 + 4n) (-8).

To find equivalent expression by using distributive property in the given expression follow all the steps given below.

• Step1; A 8 and m equals 8m and since its -8 you add a negative sign: -8m.

• Step2; A negative and a negative equals a positive so its a positive sign and it equals +24.

• Step3; A negative and a positive equals a negative so its -32n since the 4 includes an n: -32m.

Hence, The required equivalent expression is
`-8m+24-32n`.

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