My math question is  'The cube of the sum of 5 and 2 is decreased by the square of the product of 6 and 4. Write an expression that models this statement. Then solve.'

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gsenviro's profile pic

gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

There are two parts of this question, lets look at them one by one.

"The cube of sum of 5 and 2": 

it can be modeled as `(5+2)^3`

and "square of the product of 6 and 4: `(6*4)^2`

The complete expression can be written as: `(5+2)^3 - (6*4)^2`

and it can be solved as:

`(5+2)^3 - (6*4)^2 = 7^3 - 24^2 = 343 - 576 = -233`

Hope this helps.

taangerine's profile pic

taangerine | Student, Grade 12 | (Level 1) Valedictorian

Posted on

Lets break down the problem. 

The cube of the sum of 5 and 2

The sum of 5 and 2 :  (5+2) = 7

The cube of the sum : `7^3`

=343

is decreased

Decreased means reducing. What type of operation is that? Subtraction. 

by the square of the product of 6 and 4. 

The product of 6 and 4 : (6)(4)=24

The square of the product : `24^2`

=576

Now, let's put it all together and simplify.

343-576= -233

Although the above solution is correct, I wanted to highlight why they were subtracted. 

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