Asked by Shane Cornfield on Apr 28, 2024
Verified
Simplify and collect like terms: 3(x - 2y) (2x + y)
A) 6x2 - 6xy - 6y2
B) 6x2 + 10xy - 6y2
C) 6x2 - 9xy - 6y2
D) 6x2 - 9xy + 6y2
E) 6x2 + 10xy + 6y2
Algebraic Expression
A combination of numbers, variables, and operational symbols that represents a mathematical relationship or rule.
Like Terms
Terms in algebraic expressions that have the same variables raised to the same power and can be combined.
Simplify
To make something less complex or easier to understand.
- Improve capability to simplify algebraic expressions by merging similar terms.
- Understand and apply the distributive property to expand algebraic expressions.
Verified Answer
CN
Chizoba NnakweMay 02, 2024
Final Answer :
C
Explanation :
First, distribute the 3 into the parentheses: 3(x - 2y)(2x + y) = 3(2x^2 + xy - 4xy - 2y^2) = 6x^2 - 9xy - 6y^2.
Learning Objectives
- Improve capability to simplify algebraic expressions by merging similar terms.
- Understand and apply the distributive property to expand algebraic expressions.