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Can you simplify the algebraic expression (3x^2 - 5xy + 7y^2) + (-5x^2 + 2xy - 4y^2) step by step?
Detail the process of factoring the algebraic expression 2x^3 - 8x^2 + 6x.
What is the expanded form of the algebraic expression 4(x - 3) + 2(x + 5)?
Provide a step-by-step explanation of how to solve the equation 2x - 5 = 3x + 2.
How can I simplify the algebraic expression (2x^2 + 3xy) - (4x^2 - 5xy) using the distributive property?
What is the solution to the quadratic equation x^2 - 5x + 6 = 0? Please outline the steps to solve it.
Detail the process of converting the algebraic expression 3(x + 2) - 2(2x - 1) into its expanded form.
Can you explain the concept of like terms and how they are combined in algebraic expressions?
What is the purpose of factoring algebraic expressions, and how does it help in simplification?
What is the significance of the quadratic formula in solving quadratic equations?
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