Answer:
Algebraic expression = (x-43)^3
Step-by-step explanation:
Given , the verbal expression is the cube of the difference of a number and 43.
Let x be the number
Now, according to question
Difference means subtraction in which a number is subtracted from the other number
Difference of a number and 43
It means 43 is subtracted from x
Now , the algebraic expression =x-43
Cube of the difference of a number x and 43 =(x-43)(x-43)(x-43)
Cube of a number means multiply a number three times with self .
Therefore, Cube of the difference of a number x and 43=![(x-43)\times (x-43)\times(x-43)](https://tex.z-dn.net/?f=%28x-43%29%5Ctimes%20%28x-43%29%5Ctimes%28x-43%29)
Cube of the difference of a number x and 43=(x-43)^3
Because in multiply when base same then power of the number added.
<h3>Hence,the algebraic expression =(x-43)^3.</h3>
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