Bot GPT 4-o mini To factor the expression \( 20p - 90q \), we first look for the greatest common factor (GCF) of the two terms, \( 20p \) and \( 90q \).
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Find the GCF:
- The GCF of the coefficients \( 20 \) and \( 90 \) can be found by listing the factors:
- Factors of \( 20 \) are \( 1, 2, 4, 5, 10, 20 \).
- Factors of \( 90 \) are \( 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 \).
- The common factors are \( 1, 2, 5, 10 \), and the greatest among them is \( 10 \).
- The GCF of the coefficients \( 20 \) and \( 90 \) can be found by listing the factors:
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Factor out the GCF:
- Now we can factor out \( 10 \): \[ 20p - 90q = 10(2p - 9q) \]
Thus, the factored form of \( 20p - 90q \) is: \[ \boxed{10(2p - 9q)} \]
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