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\(10a^{2}-13a^{3}\) factors to \(a^{2}(10-13a)\).
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To factor the expression \( 10 a^{2} - 13 a^{3} \), we can start by factoring out the greatest common factor (GCF) from both terms. The GCF here is \( a^{2} \). So, we can rewrite the expression as: \[ a^{2}(10 - 13a) \] Now, to complete the factoring, we can express it concisely as: \[ a^{2}(10 - 13a) \] This is the factored form of the expression \( 10 a^{2} - 13 a^{3} \).
