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Factor the expression \( 4-16 a \) 88 \( -16(1-4 a) \) \( 4(1-4 a) \) \( 16(1-4 a) \) \( 4(1+4 a) \)

Ask by Graham Hill. in the United States
Feb 20,2025

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The factored form is \(4(1-4a)\).

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The Deep Dive

To factor the expression \( 4 - 16a \), we can start by looking for a common factor in both terms. The common factor here is \( 4 \). When we factor \( 4 \) out, we get: \[ 4(1 - 4a) \] So, the correct option is \( 4(1 - 4a) \). Now, that we've factored correctly, it's essential to understand how this factoring works in algebra. Factoring is like breaking down a number into its building blocks, which can make it easier to work with in equations. It’s a skill you'll use frequently, so practice makes perfect! Also, remember that factoring can help solve equations quickly! Instead of dealing with complex equations directly, rewriting them can lead us to a solution more straightforwardly. For instance, our factored expression allows us to see potential roots easily by setting each factor to zero.

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