Answer :
Answer:
-8m+24-32n
Step-by-step 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.
The required equivalent expression is [tex]-8m+24-32n[/tex].
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 [tex]-8m+24-32n[/tex].
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