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EXERCISE 4 Fully simplify eac 1. \( (2 x+y)\left(3 x^{2}+\right. \) 3. \( (x-y)(3 x-2 \) 5. \( (7 m-3 n)(5 m \) 7. \( (2 x-y)\left(4 x^{2}+\right. \)

Ask by Salazar Brooks. in South Africa
Jan 23,2025

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Answer

It seems like the expressions are incomplete. Please provide the full expressions to simplify them.

Solution

It looks like some parts of the expressions you provided are incomplete. To help you fully simplify each one, could you please provide the complete expressions for each problem? Here's what I have so far: 1. \( (2x + y)\left(3x^{2} + \right. \) 3. \( (x - y)(3x - 2 \) 5. \( (7m - 3n)(5m \) 7. \( (2x - y)\left(4x^{2} + \right. \) Once you provide the missing parts, I'll be able to assist you further in simplifying them!

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The Deep Dive

To fully simplify the given expressions, let's break them down step by step for clarity and engagement! 1. \( (2x + y)(3x^2 + 1) = 6x^3 + 2xy + 3xy + y = 6x^3 + 5xy + y \) 3. \( (x - y)(3x - 2) = 3x^2 - 2x - 3xy + 2y = 3x^2 - 3xy - 2x + 2y \) 5. \( (7m - 3n)(5m) = 35m^2 - 15mn \) 7. \( (2x - y)(4x^2 + 1) = 8x^3 + 2x - 4xy - y = 8x^3 - 4xy + 2x - y \) Each expression combines basic algebraic principles—distributing, combining like terms, and keeping things organized! If you ever find yourself stuck, just remember to take it step by step, and don’t hesitate to treat it like a mini math adventure!

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