Kelley Jimenez
12/18/2023 · Elementary School

a) Simplify \( 5 x+3 y-x+2 y \) b) Expand and simplify \( 6 a(a+4)-a \) Answer (a) Answer (b) Answer (c)

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Let's solve each part step by step. a) To simplify \( 5x + 3y - x + 2y \): 1. Combine like terms for \( x \): \[ 5x - x = 4x \] 2. Combine like terms for \( y \): \[ 3y + 2y = 5y \] So, the simplified expression is: \[ \boxed{4x + 5y} \] b) To expand and simplify \( 6a(a + 4) - a \): 1. First, expand \( 6a(a + 4) \): \[ 6a^2 + 24a \] 2. Now, subtract \( a \): \[ 6a^2 + 24a - a = 6a^2 + 23a \] So, the expanded and simplified expression is: \[ \boxed{6a^2 + 23a} \] There is no part (c) provided, so we conclude with the answers for (a) and (b).

Quick Answer

a) \( 4x + 5y \) b) \( 6a^2 + 23a \)
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