Asked by Sydni Redding on Jul 07, 2024
Verified
Use the Distributive Property to simplify x(5x−6y) x ( 5 x - 6 y ) x(5x−6y) .
A) 5x2−6xy25 x ^ { 2 } - 6 x y ^ { 2 }5x2−6xy2
B) 10x−6xy10 x - 6 x y10x−6xy
C) 5x2−6y5 x ^ { 2 } - 6 y5x2−6y
D) 10x−6y10 x - 6 y10x−6y
E) 5x2−6xy5 x ^ { 2 } - 6 x y5x2−6xy
Distributive Property
The distributive property is a basic algebraic rule stating that \(a(b + c) = ab + ac\), allowing for multiplication to be distributed over addition or subtraction.
- Utilize the distributive property for the simplification of expressions.
- Work with and understand polynomial algebraic expressions.
Verified Answer
LH
LINDA HENDERSONJul 09, 2024
Final Answer :
E
Explanation :
The Distributive Property states that $a(b + c) = ab + ac$, so we can apply this property to simplify the expression $x(5x-6y)$. We distribute the $x$ to both terms inside the parentheses to get $5x^2-6xy$, so the answer is choice E.
Learning Objectives
- Utilize the distributive property for the simplification of expressions.
- Work with and understand polynomial algebraic expressions.