Factors of 20a²b³ - 30 a²c²​

To factor the expression [tex]20a^2b^3 - 30a^2c^2[/tex]follow these steps:1. Identify the Greatest Common Factor (GCF): - The coefficients are 20 and 30. The GCF of 20 and 30 is 10. - For a²b³ and a²c² , the GCF for the variables is a², as it is the highest power of a common to both terms. - There are no b terms in the second term, and no c terms in the first term, so the GCF for the variables is a². Therefore, the GCF of the entire expression is 10a².2. Factor out the GCF: Divide each term by 10a²:[tex]20a^2b^3 \div 10a^2 = 2b^3[/tex] [tex]30a^2c^2 \div 10a^2 = 3c^2[/tex] So, the factored form is:[tex]20a^2b^3 - 30a^2c^2 = 10a^2 (2b^3 - 3c^2)[/tex]Final AnswerThe factored form of 20a²b³ - 30a²c² is:[tex]10a^2 (2b^3 - 3c^2)[/tex]

Answered by Blackguard | 2024-09-05