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Subtract: 5y^(2) from y^(2)...

Subtract:
`5y^(2)` from `y^(2)`

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To solve the problem of subtracting \( 5y^2 \) from \( y^2 \), we can follow these steps: ### Step 1: Identify the terms We have two terms: \( y^2 \) and \( 5y^2 \). ### Step 2: Check if the terms are like terms Both terms contain the variable \( y \) raised to the same power (which is 2). Therefore, they are like terms and can be combined. ### Step 3: Set up the subtraction We need to subtract \( 5y^2 \) from \( y^2 \). This can be expressed as: \[ y^2 - 5y^2 \] ### Step 4: Factor out the common term Since both terms have \( y^2 \) in common, we can factor it out: \[ y^2(1 - 5) \] ### Step 5: Simplify the expression Now, simplify the expression inside the parentheses: \[ 1 - 5 = -4 \] So, we have: \[ y^2(-4) = -4y^2 \] ### Final Answer Thus, the result of subtracting \( 5y^2 \) from \( y^2 \) is: \[ -4y^2 \] ---
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