Vaughn Howell
08/20/2023 · Senior High School

\( \left. \begin{array} { c } { 14 y ^ { 4 } + 10 y ^ { 3 } + 7 y ^ { 2 } + 4 y ^ { \prime } } \\ { 18 y ^ { 4 } - 12 y ^ { 3 } - 8 y ^ { 2 } - 6 y ^ { 2 } } \end{array} \right. \)

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Step-by-step Solution

To solve this study problem, it seems like you're trying to combine or simplify two expressions. However, the expressions are not properly formatted for addition or subtraction. It looks like you have two separate expressions, but they are not aligned for arithmetic operations. Let's assume you want to combine the two expressions by adding them together. To do this, we need to align the terms with the same powers of \( y \) and then add the coefficients. The expressions are: 1. \( 14y^4 + 10y^3 + 7y^2 + 4y \) 2. \( 18y^4 - 12y^3 - 8y^2 - 6y \) Now, let's add them: \[ \begin{align*} (14y^4 + 10y^3 + 7y^2 + 4y) + (18y^4 - 12y^3 - 8y^2 - 6y) &= 14y^4 + 18y^4 + 10y^3 - 12y^3 + 7y^2 - 8y^2 + 4y - 6y \\ &= (14 + 18)y^4 + (10 - 12)y^3 + (7 - 8)y^2 + (4 - 6)y \\ &= 32y^4 - 2y^3 - y^2 - 2y \end{align*} \] So, the combined expression is \( 32y^4 - 2y^3 - y^2 - 2y \). If you were looking to do something else with these expressions, please provide additional context or instructions.

Quick Answer

Combine the expressions to get \( 32y^4 - 2y^3 - y^2 - 2y \).
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