Simplify the expression 25pq - 11q - 16pq.

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Multiple Choice

Simplify the expression 25pq - 11q - 16pq.

Explanation:
Combining like terms is what this tests. The terms 25pq and -16pq are like terms because they both contain pq. Subtract their coefficients: 25 - 16 = 9, giving 9pq. The remaining term -11q has only q (no p), so it can’t combine with pq and stays as -11q. Put together, the simplified expression is 9pq - 11q. If you factor out a q, you get q(9p - 11). The other forms either leave the pq term unsimplified or mix up the factors in a way that isn’t equivalent to the original expression.

Combining like terms is what this tests. The terms 25pq and -16pq are like terms because they both contain pq. Subtract their coefficients: 25 - 16 = 9, giving 9pq. The remaining term -11q has only q (no p), so it can’t combine with pq and stays as -11q. Put together, the simplified expression is 9pq - 11q. If you factor out a q, you get q(9p - 11). The other forms either leave the pq term unsimplified or mix up the factors in a way that isn’t equivalent to the original expression.

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