Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Certainly! Let's simplify the given algebraic expression step by step.
Given expression:
[tex]\[ -12xy + 3x^2 - x(3 - 5y) + 3xy \][/tex]
Step 1: Distribute and combine like terms
First, distribute [tex]\( x \)[/tex] through the expression inside the parentheses:
[tex]\[ -12xy + 3x^2 - x \cdot 3 + x \cdot 5y + 3xy \][/tex]
[tex]\[ -12xy + 3x^2 - 3x + 5xy + 3xy \][/tex]
Next, combine the like terms involving [tex]\( xy \)[/tex]:
[tex]\[ -12xy + 5xy + 3xy = -12xy + 8xy = -4xy \][/tex]
So, the expression now is:
[tex]\[ 3x^2 - 3x - 4xy \][/tex]
Step 2: Factor the expression if possible
We can factor out a common factor [tex]\( x \)[/tex] from each term:
[tex]\[ x(3x - 3 - 4y) \][/tex]
So, the simplified form of the given expression is:
[tex]\[ x(3x - 3 - 4y) \][/tex]
Thus, the final simplified expression is:
[tex]\[ x(3x - 4y - 3) \][/tex]
So, the original expression [tex]\( -12xy + 3x^2 - x(3 - 5y) + 3xy \)[/tex] simplifies to:
[tex]\[ x(3x - 4y - 3) \][/tex]
Given expression:
[tex]\[ -12xy + 3x^2 - x(3 - 5y) + 3xy \][/tex]
Step 1: Distribute and combine like terms
First, distribute [tex]\( x \)[/tex] through the expression inside the parentheses:
[tex]\[ -12xy + 3x^2 - x \cdot 3 + x \cdot 5y + 3xy \][/tex]
[tex]\[ -12xy + 3x^2 - 3x + 5xy + 3xy \][/tex]
Next, combine the like terms involving [tex]\( xy \)[/tex]:
[tex]\[ -12xy + 5xy + 3xy = -12xy + 8xy = -4xy \][/tex]
So, the expression now is:
[tex]\[ 3x^2 - 3x - 4xy \][/tex]
Step 2: Factor the expression if possible
We can factor out a common factor [tex]\( x \)[/tex] from each term:
[tex]\[ x(3x - 3 - 4y) \][/tex]
So, the simplified form of the given expression is:
[tex]\[ x(3x - 3 - 4y) \][/tex]
Thus, the final simplified expression is:
[tex]\[ x(3x - 4y - 3) \][/tex]
So, the original expression [tex]\( -12xy + 3x^2 - x(3 - 5y) + 3xy \)[/tex] simplifies to:
[tex]\[ x(3x - 4y - 3) \][/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.