(x%2B8)-(3x-1)(2x%2B3)-9(4x-3).jpeg "(6x-5)(x+8)-(3x-1)(2x+3)-9(4x-3)")
Expansion of Algebraic Expressions
In this article, we will explore the expansion of algebraic expressions, specifically focusing on the expression (6x-5)(x+8)-(3x-1)(2x+3)-9(4x-3).
Step 1: Expanding the First Part
Let's start by expanding the first part of the expression: (6x-5)(x+8).
(6x-5)(x+8) = 6x(x+8) - 5(x+8) = 6x^2 + 48x - 5x - 40 = 6x^2 + 43x - 40
Step 2: Expanding the Second Part
Next, let's expand the second part of the expression: (3x-1)(2x+3).
(3x-1)(2x+3) = 3x(2x+3) - 1(2x+3) = 6x^2 + 9x - 2x - 3 = 6x^2 + 7x - 3
Step 3: Expanding the Third Part
Now, let's expand the third part of the expression: -9(4x-3).
-9(4x-3) = -36x + 27
Step 4: Combining the Expanded Expressions
Now that we have expanded each part of the expression, let's combine them:
(6x^2 + 43x - 40) - (6x^2 + 7x - 3) - (36x - 27) = 6x^2 + 43x - 40 - 6x^2 - 7x + 3 + 36x - 27 = 36x - 64
And there you have it! The expanded form of the expression (6x-5)(x+8)-(3x-1)(2x+3)-9(4x-3) is 36x - 64.
