Expansion and Simplification of Algebraic Expressions
In this article, we will explore the expansion and simplification of algebraic expressions, specifically the expression 2(a^2-5ab+4b^2)-3(2a^2-2ab+3b^2).
Expanding the Expression
To begin, let's expand the given expression:
2(a^2-5ab+4b^2)-3(2a^2-2ab+3b^2)
= 2a^2 - 10ab + 8b^2 - 6a^2 + 6ab - 9b^2
Combining Like Terms
Next, we combine like terms:
= -4a^2 - 4ab - b^2
Simplifying the Expression
Finally, we simplify the expression:
= -4(a^2 + ab + b^2/4)
And that's the simplified form of the given expression!
Conclusion
In this article, we have successfully expanded and simplified the algebraic expression 2(a^2-5ab+4b^2)-3(2a^2-2ab+3b^2). By following the order of operations and combining like terms, we were able to arrive at the final simplified form.
