(4) Listen Factor the expression using the GCF. \( 16 x+56 y=\square \)
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Mind Expander
To factor the expression \( 16x + 56y \) using the GCF (Greatest Common Factor), we first need to determine the GCF of the coefficients. The GCF of 16 and 56 is 8. So, we can factor out 8 from both terms: \( 16x + 56y = 8(2x + 7y) \). Now, we’ve successfully factored the expression! If you want to impress your friends with some math magic, you can always revisit the GCF process! Identify the smallest powers of all prime factors in the coefficients. For example, both 16 and 56 share prime factors: 2 (as \(16 = 2^4\) and \(56 = 2^3 \times 7\)). Remember, recognizing these patterns makes factoring a lot more fun and less like a chore!
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