Respuesta :
The expression is simplified to r²( r + 1) - (q - s²)
What are algebraic expressions?
Algebraic expressions are mathematical expressions made up of variables and constants.
They are mostly made up of algebraic operations such as addition, subtraction, division, multiplication, bracket, parenthesis, etc
Given the expression;
r3 – [q + (r – s)2 ]
With the knowledge of BODMAS, we expand the bracket
r³ - q + ( r + s²)
r³ - q + r² - s²
Now, let's collect like terms
r³ + r² - q - s²
(r³ + r²) - (q - s²)
Factor out r, we then have;
r²( r + 1) - (q - s²)
The expression is simplified to r²( r + 1) - (q - s²)
Thus, the expression is simplified to r²( r + 1) - (q - s²)
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